Singular Loci of Schubert Varieties
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
|
Schriftenreihe: | Progress in Mathematics
182 |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
LEADER | 00000nmm a2200000zcb4500 | ||
---|---|---|---|
001 | BV042419802 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s2000 |||| o||u| ||||||eng d | ||
020 | |a 9781461213246 |c Online |9 978-1-4612-1324-6 | ||
020 | |a 9781461270942 |c Print |9 978-1-4612-7094-2 | ||
024 | 7 | |a 10.1007/978-1-4612-1324-6 |2 doi | |
035 | |a (OCoLC)879624685 | ||
035 | |a (DE-599)BVBBV042419802 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 516.35 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Billey, Sara |e Verfasser |4 aut | |
245 | 1 | 0 | |a Singular Loci of Schubert Varieties |c by Sara Billey, V. Lakshmibai |
264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 2000 | |
300 | |a 1 Online-Ressource (XII, 251 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Progress in Mathematics |v 182 | |
500 | |a "Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties – namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography, index, and tables – the latter not to be found elsewhere in the mathematics literature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Geometry, algebraic | |
650 | 4 | |a Topological Groups | |
650 | 4 | |a Combinatorics | |
650 | 4 | |a Global differential geometry | |
650 | 4 | |a Algebraic Geometry | |
650 | 4 | |a Topological Groups, Lie Groups | |
650 | 4 | |a Differential Geometry | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Schubert-Mannigfaltigkeit |0 (DE-588)4512043-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Schubert-Mannigfaltigkeit |0 (DE-588)4512043-2 |D s |
689 | 0 | 1 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
700 | 1 | |a Lakshmibai, V. |e Sonstige |4 oth | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-1324-6 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027855219 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
DE-BY-TUM_katkey | 2066811 |
---|---|
_version_ | 1816714047928664064 |
any_adam_object | |
author | Billey, Sara |
author_facet | Billey, Sara |
author_role | aut |
author_sort | Billey, Sara |
author_variant | s b sb |
building | Verbundindex |
bvnumber | BV042419802 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)879624685 (DE-599)BVBBV042419802 |
dewey-full | 516.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.35 |
dewey-search | 516.35 |
dewey-sort | 3516.35 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-1324-6 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03009nmm a2200553zcb4500</leader><controlfield tag="001">BV042419802</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2000 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461213246</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-1324-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461270942</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-7094-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-1324-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879624685</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419802</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Billey, Sara</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Singular Loci of Schubert Varieties</subfield><subfield code="c">by Sara Billey, V. Lakshmibai</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 251 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Progress in Mathematics</subfield><subfield code="v">182</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties – namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography, index, and tables – the latter not to be found elsewhere in the mathematics literature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, algebraic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological Groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological Groups, Lie Groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schubert-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4512043-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Schubert-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4512043-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lakshmibai, V.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-1324-6</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855219</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
id | DE-604.BV042419802 |
illustrated | Not Illustrated |
indexdate | 2024-11-25T17:51:13Z |
institution | BVB |
isbn | 9781461213246 9781461270942 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855219 |
oclc_num | 879624685 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XII, 251 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2000 |
publishDateSearch | 2000 |
publishDateSort | 2000 |
publisher | Birkhäuser Boston |
record_format | marc |
series2 | Progress in Mathematics |
spellingShingle | Billey, Sara Singular Loci of Schubert Varieties Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd |
subject_GND | (DE-588)4077459-4 (DE-588)4512043-2 |
title | Singular Loci of Schubert Varieties |
title_auth | Singular Loci of Schubert Varieties |
title_exact_search | Singular Loci of Schubert Varieties |
title_full | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
title_fullStr | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
title_full_unstemmed | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
title_short | Singular Loci of Schubert Varieties |
title_sort | singular loci of schubert varieties |
topic | Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd |
topic_facet | Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik Schubert-Mannigfaltigkeit |
url | https://doi.org/10.1007/978-1-4612-1324-6 |
work_keys_str_mv | AT billeysara singularlociofschubertvarieties AT lakshmibaiv singularlociofschubertvarieties |