On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics

被引：26

作者：

Drezet, Jean-Marc ^{[1
]}

Maican, Mario ^{[2
]}

机构：

[1] Inst Math Jussieu, Case 247, F-75252 Paris, France

[2] Inst Matemat Acad Romane, Bucharest 010702, Romania

来源：

GEOMETRIAE DEDICATA | 2011年 / 152卷 / 01期

关键词：

Moduli spaces of sheaves; Plane quartics; SEMISTABLE SHEAVES; VECTOR-BUNDLES; CURVES; P2(C); MORPHISMS; VARIETIES;

D O I：

10.1007/s10711-010-9544-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We decompose each moduli space of semi-stable sheaves on the complex projective plane with support of dimension one and degree four into locally closed subvarieties, each subvariety being the good or geometric quotient of a set of morphisms of locally free sheaves modulo a reductive or a non-reductive group. We find locally free resolutions of length one for all these sheaves and describe them.

引用

页码：17 / 49

页数：33

共 24 条

[1] Untwisted bundles and quasi locally free bundles on multiple primitive curves [J].

Drezet, Jean-Marc .

MATHEMATISCHE NACHRICHTEN, 2009, 282 (07) :919-952

[2] Alternative moduli varieties [J].

Drézet, JM .

ANNALES DE L INSTITUT FOURIER, 1999, 49 (01) :57-+

[3] Moduli spaces of decomposable morphisms of sheaves and quotients by non-reductive groups [J].

Drézet, JM ;

Trautmann, G .

ANNALES DE L INSTITUT FOURIER, 2003, 53 (01) :107-+

[4] EXCEPTIONAL FIBERS AND GENERALIZED BEILINSON SPECTRAL SERIES ON P2(C) [J].

DREZET, JM .

MATHEMATISCHE ANNALEN, 1986, 275 (01) :25-48

[5] MANIFOLDS OF EXTREMAL MODULI OF SEMISTABLE SHEAVES ON P2(C) [J].

DREZET, JM .

MATHEMATISCHE ANNALEN, 1991, 290 (04) :727-770

[6]

DREZET JM, 1987, J REINE ANGEW MATH, V380, P14

[7]

Drézet JM, 2000, J REINE ANGEW MATH, V518, P41

[8]

Freiermuth H. G., 2000, THESIS U KAISERSLAUT

[9] On the moduli scheme of stable sheaves supported on cubic space curves [J].

Freiermuth, HG ;

Trautmann, G .

AMERICAN JOURNAL OF MATHEMATICS, 2004, 126 (02) :363-393

[10] EXCEPTIONAL VECTOR-BUNDLES ON PROJECTIVE SPACES [J].

GORODENTSEV, AL ;

RUDAKOV, AN .

DUKE MATHEMATICAL JOURNAL, 1987, 54 (01) :115-130

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