diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials

Matteo Costantini; Martin Möller; Jonathan Zachhuber

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arXiv · 2006.12815

diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials

Matteo Costantini·Martin Möller·Jonathan Zachhuber

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Abstract

The boundary of the multi-scale differential compactification of strata of abelian differentials admits an explicit combinatorial description. However, even for low-dimensional strata, the complexity of the boundary requires use of a computer. We give a description of the algorithms implemented in the SageMath package diffstrata to enumerate the boundary components and perform intersection theory on this space. In particular, the package can compute the Euler characteristic of strata using the methods developed by the same authors in [CMZ20].

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BibTeX RIS

Matteo Costantini, Martin Möller, Jonathan Zachhuber. 2020-06-23. diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials. https://arxiv.org/abs/2006.12815

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