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Universal Weak Semistable Reduction

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arxiv 1601.00302 v2 pith:RIWQQEY5 submitted 2016-01-03 math.AG

Sam Molcho This is my paper · ORCID
classification math.AG
keywords semistableuniversalallowdeligne-mumfordfamiliesinsteadmodifiedmorphism
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We show that a toroidal morphism can be reduced to a weakly semistable one in a universal way if we allow families to be modified to Deligne-Mumford stacks instead of schemes.

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  1. Gromov-Witten theory with maximal contacts

    math.AG 2019-08 conditional novelty 8.0 of 10

    For simple normal crossings divisors, logarithmic and local/naive Gromov-Witten invariants with maximal contacts differ, and this paper gives the first counterexamples plus a blowup formula measuring the difference.

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