Euler characteristics of local systems on M2

E. Getzler

doi:10.1023/A:1015826400148

Euler characteristics of local systems on M₂

E. Getzler^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We calculate the Euler characteristics of the local systems S ^kV⊗S^ℓrΛ²V on the moduli space M₂ of curves of genus 2, where V is the rank 4 local system R¹π_*ℂ.

Original language	English (US)
Pages (from-to)	121-135
Number of pages	15
Journal	Compositio Mathematica
Volume	132
Issue number	2
DOIs	https://doi.org/10.1023/A:1015826400148
State	Published - 2002

Keywords

Hyperelliptic curves
Moduli spaces

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Euler characteristics of local systems on M2",

abstract = "We calculate the Euler characteristics of the local systems S kV⊗SℓrΛ2V on the moduli space M2 of curves of genus 2, where V is the rank 4 local system R1π*ℂ.",

keywords = "Hyperelliptic curves, Moduli spaces",

author = "E. Getzler",

note = "Funding Information: This paper was completed while the author was a guest of the School of Mathematical Sciences of the Australian National University. The author is partially supported under NSF grant DMS-9704320.",

year = "2002",

doi = "10.1023/A:1015826400148",

language = "English (US)",

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Y1 - 2002

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AB - We calculate the Euler characteristics of the local systems S kV⊗SℓrΛ2V on the moduli space M2 of curves of genus 2, where V is the rank 4 local system R1π*ℂ.

KW - Hyperelliptic curves

KW - Moduli spaces

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