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arXiv · 2109.03377

The Moduli of Sections Has a Canonical Obstruction Theory

Rachel Webb
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Abstract

We give a detailed proof that locally Noetherian moduli stacks of sections carry canonical obstruction theories. As part of the argument we construct a dualizing sheaf and trace map, in the lisse-etale topology, for families of tame twisted curves, when the base stack is locally Noetherian.

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Rachel Webb. 2021-09-08. The Moduli of Sections Has a Canonical Obstruction Theory. https://doi.org/10.1017/fms.2022.61

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