Geometry of the theta divisor of a compactified jacobian

被引：0

作者：

Caporaso, Lucia ^{[1
]}

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2009年 / 11卷 / 06期

关键词：

Nodal curve; line bundle; compactified Picard scheme; theta divisor; Abel map; hyperelliptic stable curve; MODULI; VARIETIES; AMPLENESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The object of this paper is the theta divisor of the compactified jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an application.

引用

页码：1385 / 1427

页数：43

共 50 条

[11] REDUCIBILITY OF THE COMPACTIFIED JACOBIAN
KLEPPE, H
KLEIMAN, SL
COMPOSITIO MATHEMATICA, 1981, 43 (02) : 277 - 280
[12] Autoduality of the compactified Jacobian
Esteves, E
Gagné, M
Kleiman, S
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 65 : 591 - 610
[13] The compactified jacobian can be nonreduced
Kass, Jesse Leo
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2015, 47 : 686 - 692
[14] GEOMETRY OF VECTOR BUNDLE EXTENSIONS AND APPLICATIONS TO A GENERALISED THETA DIVISOR
Hitching, George H.
MATHEMATICA SCANDINAVICA, 2013, 112 (01) : 61 - 77
[15] SINGULARITIES OF THE THETA-DIVISOR OF THE INTERMEDIATE JACOBIAN OF THE CUBIC HYPERSURFACE IN P4
BEAUVILLE, A
LECTURE NOTES IN MATHEMATICS, 1982, 947 : 190 - 208
[16] THETA FUNCTIONS ON THE THETA DIVISOR
De Jong, Robin
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (01) : 155 - 176
[17] The compactified Jacobian of a reducible hyperelliptic curve
Bhosle, UN
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 65 : 55 - 67
[18] On the irreducible components of the compactified Jacobian of a ribbon
Savarese, Michele
COMMUNICATIONS IN ALGEBRA, 2019, 47 (04) : 1385 - 1389
[19] The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian
Van Geemen, B
Izadi, E
JOURNAL OF ALGEBRAIC GEOMETRY, 2001, 10 (01) : 133 - 177
[20] COMPACTIFIED JACOBIAN OF SOME UNIBRANCH CURVES
GOKHALE, J
MATHEMATISCHE ZEITSCHRIFT, 1994, 217 (01) : 47 - 55

← 1 2 3 4 5 →