Fourier-Mukai transform on abelian surfaces

被引：15

作者：

Yoshioka, Kota ^{[1
]}

机构：

[1] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 657, Japan

来源：

MATHEMATISCHE ANNALEN | 2009年 / 345卷 / 03期

关键词：

TWISTED STABILITY; STABLE SHEAVES; EQUIVALENCES; K3;

D O I：

10.1007/s00208-009-0356-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study moduli spaces of stable sheaves on abelian surfaces whose Mukai vectors are related by a cohomological Fourier-Mukai transform. We show that there is a Fourier-Mukai transform inducing a birational map between them.

引用

页码：493 / 524

页数：32

共 50 条

[21] Twisted stability and Fourier-Mukai transform II
Yoshioka, K
MANUSCRIPTA MATHEMATICA, 2003, 110 (04) : 433 - 465
[22] SYMPLECTIC BIEXTENSIONS AND A GENERALIZATION OF THE FOURIER-MUKAI TRANSFORM
Polishchuk, A.
MATHEMATICAL RESEARCH LETTERS, 1996, 3 (06) : 813 - 828
[23] A Fourier-Mukai transform for real torus bundles
Glazebrook, JF
Jardim, M
Kamber, FW
JOURNAL OF GEOMETRY AND PHYSICS, 2004, 50 (1-4) : 360 - 392
[24] Torelli theorem via Fourier-Mukai transform
Beilinson, A
Polishchuk, A
MODULI OF ABELIAN VARIETIES, 2000, 195 : 127 - 132
[25] Baum-Connes and the Fourier-Mukai transform
Emerson, Heath
Hudson, Daniel
ILLINOIS JOURNAL OF MATHEMATICS, 2022, 66 (01) : 31 - 57
[26] M-regularity and the Fourier-Mukai transform
Pareschi, Giuseppe
Popa, Mihnea
PURE AND APPLIED MATHEMATICS QUARTERLY, 2008, 4 (03) : 587 - 611
[27] The real Fourier-Mukai transform of Cayley cycles
Kawai, Kotaro
Yamamoto, Hikaru
PURE AND APPLIED MATHEMATICS QUARTERLY, 2021, 17 (05) : 1861 - 1898
[28] Twisted Fourier-Mukai partners of Enriques surfaces
Addington, Nicolas
Wray, Andrew
MATHEMATISCHE ZEITSCHRIFT, 2021, 297 (3-4) : 1239 - 1247
[29] Twisted stability and Fourier-Mukai transform II
Kōta Yoshioka
manuscripta mathematica, 2003, 110 : 433 - 465
[30] FOURIER-MUKAI PARTNERS OF ELLIPTIC RULED SURFACES
Uehara, Hokuto
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (08) : 3221 - 3232

← 1 2 3 4 5 →