Affine Stratification of $\mathcal A_4$

Anant Atyam

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arXiv · 1312.5795

Affine Stratification of $\mathcal A_4$

Anant Atyam

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Abstract

We construct an affine stratification for $\mathcal A_4(\mathbb C)$ of length 6, in the sense of Roth and Vakil, which gives us an upper bound of 6 for the cohomological dimension of $\mathcal A_4(\mathbb C)$. 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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Anant Atyam. 2013-12-20. Affine Stratification of $\mathcal A_4$. https://arxiv.org/abs/1312.5795

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