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Affine stratification of $ \mathcal{A}_4$


Author: Anant Atyam
Journal: Proc. Amer. Math. Soc. 143 (2015), 4167-4175
MSC (2010): Primary 14H15, 14H40, 14H42
DOI: https://doi.org/10.1090/proc/12525
Published electronically: June 24, 2015
MathSciNet review: 3373917
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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 (2004), 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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Additional Information

Anant Atyam
Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794-3651
Address at time of publication: Risk and Information Management, American Express, 3 World Financial Center, New York, NY 10285

DOI: https://doi.org/10.1090/proc/12525
Received by editor(s): February 11, 2014
Received by editor(s) in revised form: April 17, 2014
Published electronically: June 24, 2015
Communicated by: Lev Borisov
Article copyright: © Copyright 2015 Anant Atyam

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