The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves

被引：6

作者：

Bini, G

van der Geer, G

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Amsterdam, Korteweg de Vries Inst, NL-1018 TV Amsterdam, Netherlands

来源：

MATHEMATISCHE ANNALEN | 2005年 / 332卷 / 02期

关键词：

Stratification; Modulus Space; Local System; Finite Field; Euler Characteristic;

D O I：

10.1007/s00208-005-0629-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a partition lambda = {lambda(1) =lambda(2) >= lambda(3) >= 0} of non-negative integers, we calculate the Euler characteristic of the local system V-lambda on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some lambda of low degree, we make a guess for the motivic Euler characteristic of V-lambda using counting curves over finite fields.

引用

页码：367 / 379

页数：13

共 50 条

[1] The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves
Gilberto Bini
Gerard van der Geer
[J]. Mathematische Annalen, 2005, 332 : 367 - 379
[2] The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three
Bergstrom, Jonas
van der Geer, Gerard
[J]. JOURNAL OF TOPOLOGY, 2008, 1 (03) : 651 - 662
[3] Bielliptic curves of genus 3 in the hyperelliptic moduli
Shaska, T.
Thompson, F.
[J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (05) : 387 - 412
[4] ON THE Sn-EQUIVARIANT EULER CHARACTERISTIC OF MODULI SPACES OF HYPERELLIPTIC CURVES
Gorsky, E.
[J]. MATHEMATICAL RESEARCH LETTERS, 2009, 16 (04) : 591 - 603
[5] Hyperelliptic curves of genus 3 and 4 in characteristic 2
Demirbas, Y
[J]. Computational Aspects of Algebraic Curves, 2005, 13 : 145 - 162
[6] THE EULER CHARACTERISTIC OF THE MODULI SPACE OF CURVES
HARER, J
ZAGIER, D
[J]. INVENTIONES MATHEMATICAE, 1986, 85 (03) : 457 - 485
[7] VECTOR BUNDLES NEAR NEGATIVE CURVES: MODULI AND LOCAL EULER CHARACTERISTIC
Ballico, E.
Gasparim, E.
Koeppe, T.
[J]. COMMUNICATIONS IN ALGEBRA, 2009, 37 (08) : 2688 - 2713
[8] Fields of moduli and definition of hyperelliptic curves of odd genus
Fuertes, Yolanda
[J]. ARCHIV DER MATHEMATIK, 2010, 95 (01) : 15 - 18
[9] Fields of moduli and definition of hyperelliptic curves of odd genus
Yolanda Fuertes
[J]. Archiv der Mathematik, 2010, 95 : 15 - 18
[10] CALCULATING THE EULER CHARACTERISTIC OF THE MODULI SPACE OF CURVES
Lass, Bodo
[J]. COMBINATORICA, 2022, 42 (05) : 749 - 762

← 1 2 3 4 5 →