The Hodge bundle on Hurwitz spaces
Gerard van der Geer, Alexis Kouvidakis
TL;DR
This paper provides an algebraic proof and extension of a formula for the Hodge bundle class on Hurwitz spaces, originally proven analytically, enhancing understanding of the algebraic structure of these moduli spaces.
Contribution
It offers an algebraic proof and extends the formula for the Hodge bundle class on Hurwitz spaces of admissible covers.
Findings
Algebraic proof of the Hodge bundle class formula
Extension of the original formula to broader cases
Improved understanding of Hurwitz space geometry
Abstract
In 2009 Kokotov, Korotkin and Zograf gave a formula for the class of the Hodge bundle on the Hurwitz space of admissible covers of genus g and degree d of the projective line. They gave an analytic proof of it. In this note we give an algebraic proof and an extension of the result.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology