K3 surfaces and their moduli
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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[Cham]
Springer
[2016]
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| Schriftenreihe: | Progress in mathematics
volume 315 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-898 DE-861 DE-91 DE-19 DE-703 DE-20 DE-824 DE-739 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2193118 |
|---|---|
| _version_ | 1820882972434235392 |
| adam_text | K3 SURFACES AND THEIR MODULI
/
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SAMUEL BOISSIERE, ANDREA CATTANEO, MARC NIEPER-WISSKIRCHEN, AND
ALESSANDRA SARTI: THE AUTOMORPHISM GROUP OF THE HILBERT SCHEME OF TWO
POINTS ON A GENERIC PROJECTIVE K3 SURFACE
IGOR DOLGACHEV: ORBITAL COUNTING OF CURVES ON ALGEBRAIC SURFACES AND
SPHERE PACKINGS
V. GRITSENKO AND K. HULEK: MODULI OF POLARIZED ENRIQUES SURFACES
BRENDAN HASSETT AND YURI TSCHINKEL: EXTREMAL RAYS AND AUTOMORPHISMS OF
HOLOMORPHIC SYMPLECTIC VARIETIES
GERT HECKMAN AND SANDER RIEKEN: AN ODD PRESENTATION FOR W(E_6)
S. KATZ, A. KLEMM, AND R. PANDHARIPANDE, WITH AN APPENDIX BY R. P.
THOMAS: ON THE MOTIVIC STABLE PAIRS INVARIANTS OF K3 SURFACES
SHIGEYUKI KONDOE: THE IGUSA QUARTIC AND BORCHERDS PRODUCTS
CHRISTIAN LIEDTKE: LECTURES ON SUPERSINGULAR K3 SURFACES AND THE
CRYSTALLINE TORELLI THEOREM
DAISUKE MATSUSHITA: ON DEFORMATIONS OF LAGRANGIAN FIBRATIONS
G. OBERDIECK AND R. PANDHARIPANDE: CURVE COUNTING ON K3 X E, THE IGUSA
CUSP FORM X_10, AND DESCENDENT INTEGRATION
KEIJI OGUISO: SIMPLE ABELIAN VARIETIES AND PRIMITIVE AUTOMORPHISMS OF
NULL ENTROPY OF SURFACES
ICHIRO SHIMADA: THE AUTOMORPHISM GROUPS OF CERTAIN SINGULAR K3 SURFACES
AND AN ENRIQUES SURFACE
ALESSANDRO VERRA: GEOMETRY OF GENUS 8 NIKULIN SURFACES AND RATIONALITY
OF THEIR MODULI
CLAIRE VOISIN: REMARKS AND QUESTIONS ON COISOTROPIC SUBVARIETIES AND
0-CYCLES OF HYPER-KAEHLER VARIETIES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
K3 SURFACES AND THEIR MODULI
/
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES AN OVERVIEW OF THE LATEST DEVELOPMENTS CONCERNING THE
MODULI OF K3 SURFACES. IT IS AIMED AT ALGEBRAIC GEOMETERS, BUT IS ALSO
OF INTEREST TO NUMBER THEORISTS AND THEORETICAL PHYSICISTS, AND
CONTINUES THE TRADITION OF RELATED VOLUMES LIKE “THE MODULI SPACE OF
CURVES” AND “MODULI OF ABELIAN VARIETIES,” WHICH ORIGINATED FROM
CONFERENCES ON THE ISLANDS TEXEL AND SCHIERMONNIKOOG AND WHICH HAVE
BECOME CLASSICS. K3 SURFACES AND THEIR MODULI FORM A CENTRAL TOPIC IN
ALGEBRAIC GEOMETRY AND ARITHMETIC GEOMETRY, AND HAVE RECENTLY ATTRACTED
A LOT OF ATTENTION FROM BOTH MATHEMATICIANS AND THEORETICAL PHYSICISTS.
ADVANCES IN THIS FIELD OFTEN RESULT FROM MIXING SOPHISTICATED TECHNIQUES
FROM ALGEBRAIC GEOMETRY, LATTICE THEORY, NUMBER THEORY, AND DYNAMICAL
SYSTEMS. THE TOPIC HAS RECEIVED SIGNIFICANT IMPETUS DUE TO RECENT
BREAKTHROUGHS ON THE TATE CONJECTURE, THE STUDY OF STABILITY CONDITIONS
AND DERIVED CATEGORIES, AND LINKS WITH MIRROR SYMMETRY AND STRING
THEORY. AT THE SAME TIME, THE THEORY OF IRREDUCIBLE HOLOMORPHIC
SYMPLECTIC VARIETIES, THE HIGHER DIMENSIONAL ANALOGUES OF K3 SURFACES,
HAS BECOME A MAINSTREAM TOPIC IN ALGEBRAIC GEOMETRY. CONTRIBUTORS: S.
BOISSIERE, A. CATTANEO, I. DOLGACHEV, V. GRITSENKO, B. HASSETT, G.
HECKMAN, K. HULEK, S. KATZ, A. KLEMM, S. KONDO, C. LIEDTKE, D.
MATSUSHITA, M. NIEPER-WISSKIRCHEN, G. OBERDIECK, K. OGUISO, R.
PANDHARIPANDE, S. RIEKEN, A. SARTI, I. SHIMADA, R. P. THOMAS, Y.
TSCHINKEL, A. VERRA, C. VOISIN
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author2 | Faber, Carel 1962- Farkas, Gavril 1973- Geer, Gerard van der 1950- |
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| author_facet | Faber, Carel 1962- Farkas, Gavril 1973- Geer, Gerard van der 1950- |
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| bvnumber | BV043546285 |
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| 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 | 10.1007/978-3-319-29959-4 |
| format | Electronic eBook |
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| id | DE-604.BV043546285 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:03:34Z |
| institution | BVB |
| isbn | 9783319299594 |
| issn | 0743-1643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028961647 |
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| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spellingShingle | K3 surfaces and their moduli Progress in mathematics Mathematics Algebraic geometry Algebraic Geometry Mathematik |
| title | K3 surfaces and their moduli |
| title_auth | K3 surfaces and their moduli |
| title_exact_search | K3 surfaces and their moduli |
| title_full | K3 surfaces and their moduli Carel Faber, Gavril Farkas, Gerard van der Geer, editors |
| title_fullStr | K3 surfaces and their moduli Carel Faber, Gavril Farkas, Gerard van der Geer, editors |
| title_full_unstemmed | K3 surfaces and their moduli Carel Faber, Gavril Farkas, Gerard van der Geer, editors |
| title_short | K3 surfaces and their moduli |
| title_sort | k3 surfaces and their moduli |
| topic | Mathematics Algebraic geometry Algebraic Geometry Mathematik |
| topic_facet | Mathematics Algebraic geometry Algebraic Geometry Mathematik |
| url | https://doi.org/10.1007/978-3-319-29959-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961647&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961647&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421267 |
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