Joins and Intersections
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999
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| Schriftenreihe: | Springer Monographs in Mathematics
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| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 020 | |a 9783642085628 |c Print |9 978-3-642-08562-8 | ||
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| 100 | 1 | |a Flenner, Hubert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Joins and Intersections |c by Hubert Flenner, Liam O'Carroll, Wolfgang Vogel |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1999 | |
| 300 | |a 1 Online-Ressource (VI, 301 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
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| 490 | 0 | |a Springer Monographs in Mathematics |x 1439-7382 | |
| 500 | |a Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a nonsingular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, coworkers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have excess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algebraic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to intersections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique of reduction to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates | ||
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| 700 | 1 | |a Vogel, Wolfgang |e Sonstige |4 oth | |
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Datensatz im Suchindex
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|---|---|
| _version_ | 1820684752642899968 |
| any_adam_object | |
| author | Flenner, Hubert |
| author_facet | Flenner, Hubert |
| author_role | aut |
| author_sort | Flenner, Hubert |
| author_variant | h f hf |
| building | Verbundindex |
| bvnumber | BV042423279 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623458 (DE-599)BVBBV042423279 |
| 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 | 10.1007/978-3-662-03817-8 |
| format | Electronic eBook |
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| id | DE-604.BV042423279 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-08T13:44:46Z |
| institution | BVB |
| isbn | 9783662038178 9783642085628 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858696 |
| oclc_num | 879623458 |
| 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 (VI, 301 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Monographs in Mathematics |
| spellingShingle | Flenner, Hubert Joins and Intersections Mathematics Geometry, algebraic Geometry Algebraic Geometry Mathematik Schnitttheorie (DE-588)4179890-9 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4179890-9 (DE-588)4001161-6 |
| title | Joins and Intersections |
| title_auth | Joins and Intersections |
| title_exact_search | Joins and Intersections |
| title_full | Joins and Intersections by Hubert Flenner, Liam O'Carroll, Wolfgang Vogel |
| title_fullStr | Joins and Intersections by Hubert Flenner, Liam O'Carroll, Wolfgang Vogel |
| title_full_unstemmed | Joins and Intersections by Hubert Flenner, Liam O'Carroll, Wolfgang Vogel |
| title_short | Joins and Intersections |
| title_sort | joins and intersections |
| topic | Mathematics Geometry, algebraic Geometry Algebraic Geometry Mathematik Schnitttheorie (DE-588)4179890-9 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Mathematics Geometry, algebraic Geometry Algebraic Geometry Mathematik Schnitttheorie Algebraische Geometrie |
| url | https://doi.org/10.1007/978-3-662-03817-8 |
| work_keys_str_mv | AT flennerhubert joinsandintersections AT ocarrollliam joinsandintersections AT vogelwolfgang joinsandintersections |