Affine Stratification of \mathcal A₄

2013/12/20 by Anant Atyam, Atyam, Anant
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1312.5795

arxiv created 2013/12/20 · arxiv updated 2013/12/23

Abstract

We construct an affine stratification for \mathcal A₄(\mathbb C) of length 6, in the sense of Roth and Vakil, which gives us an upper bound of 6 for the cohomological dimension of \mathcal A₄(\mathbb C). We conjecture that in general for arbitrary g the cohomological dimension of \mathcal A_g is equal to g(g-1)/2.

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