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Paper detail

The WYSIWYG compactification

We show that the partial compactification of a stratum of Abelian differentials previously considered by Mirzakhani and Wright is not an algebraic variety. Despite this, we use a combination of algebro-geometric and other methods to provide a short, unconditional proof of Mirzakhani and Wright's formula for the tangent space to the boundary of a GL(2,R) orbit closure, and give new results on the structure of the boundary.

preprint2020arXivOpen access
Dawei ChenAlex Wright
math.DSmath.AG
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Dawei ChenAlex Wright

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