Degeneration of the strange duality map for symplectic bundles

被引：4

作者：

Abe, Takeshi ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Sakyo Ku, Kyoto 6068502, Japan

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2009年 / 631卷

关键词：

GENERALIZED THETA-FUNCTIONS; MODULI SPACES; FACTORIZATION; CURVES;

D O I：

10.1515/CRELLE.2009.046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate a strange duality map for parabolic symplectic bundles. We shall prove that as a smooth curve degenerates to a nodal curve, the strange duality map becomes the direct sum of the strange duality maps for parabolic bundles on the normalization of the nodal curve.

引用

页码：181 / 220

页数：40

共 37 条

[1] Orthogonal bundles, theta characteristics and symplectic strange duality
Belkale, Prakash
COMPACT MODULI SPACES AND VECTOR BUNDLES, 2012, 564 : 185 - 193
[2] Strange duality at level one for alternating vector bundles
Zelaci, Hacen
JOURNAL OF GEOMETRY AND PHYSICS, 2025, 207
[3] Generalized Theta Functions, Strange Duality, and Odd Orthogonal Bundles on Curves
Mukhopadhyay, Swarnava
Wentworth, Richard
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 370 (01) : 325 - 376
[4] STRANGE DUALITY
Pauly, Christian
ASTERISQUE, 2009, (326) : 363 - 377
[5] Sheaves on abelian surfaces and strange duality
Marian, Alina
Oprea, Dragos
MATHEMATISCHE ANNALEN, 2009, 343 (01) : 1 - 33
[6] Hecke correspondence for symplectic bundles with application to the Picard bundles
Biswas, I
Gómez, TL
INTERNATIONAL JOURNAL OF MATHEMATICS, 2006, 17 (01) : 45 - 63
[7] STRANGE DUALITY ON RATIONAL SURFACES
Yuan, Yao
JOURNAL OF DIFFERENTIAL GEOMETRY, 2020, 114 (02) : 305 - 336
[8] AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES
Biswas, Indranil
Gomez, Tomas L.
Munoz, Vicente
INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (05)
[9] Higgs bundles and the real symplectic group
Gothen, Peter B.
XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS, 2011, 1360 : 39 - 50
[10] Symplectic embeddings into disk cotangent bundles
Ferreira, Brayan
Ramos, Vinicius G. B.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2022, 24 (03)

← 1 2 3 4 →