Searcharxiv⌕ Search

arXiv · math/0402274

Cycles Representing The Top Chern Class of the Hodge Bundle on the Moduli Space of Abelian Varieties

Abstract

We give a generalization to higher genera of the famous formula $12 λ=δ$ for genus 1. We also compute the classes of certain strata in the Satake compactification as elements of the push down of the tautological ring.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Torsten Ekedahl, Gerard van der Geer. 2004-02-17. Cycles Representing The Top Chern Class of the Hodge Bundle on the Moduli Space of Abelian Varieties. https://arxiv.org/abs/math/0402274

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Good minimal models with nowhere vanishing holomorphic $1$-forms

Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorphic 1-form without zero if and only if it admits an analytic fiber bundle structure over a positive dimensional abelian variety.

math.AG↗

Algebraic Zhou valuations

In this paper, we generalize Zhou valuations, originally defined on complex domains, to the framework of general schemes. We demonstrate that an algebraic version of the Jonsson--Mustaţă conjecture is equivalent to the statement that every Zhou valuation is quasi-monomial. By introducing a mixed version of jumping numbers and Tian functions associated with valuations, we obtain characterizations of a valuation being a Zhou valuation or computing some jumping number using the Tian functions. Furthermore, we establish the correspondence between Zhou valuations in algebraic settings and their counterparts in analytic settings.

math.AG↗