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Author ORCID Identifier
https://orcid.org/0000-0002-1609-6946
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2021
Month Degree Awarded
September
First Advisor
Paul Hacking
Subject Categories
Algebraic Geometry
Abstract
Let $p \in X$ be the germ of a cusp singularity and let $\iota$ be an antisymplectic involution, that is an involution free on $X\setminus \{p\}$ and such that there exists a nowhere vanishing holomorphic 2-form $\Omega$ on $X\setminus \{p\}$ for which $\iota^*(\Omega)=-\Omega$. We prove that a sufficient condiition for such a singularity equipped with an antisymplectic involution to be equivariantly smoothable is the existence of a Looijenga (or anticanonical) pair $(Y,D)$ that admits an involution free on $Y\setminus D$ and that reverses the orientation of $D$.
DOI
https://doi.org/10.7275/23342899
Recommended Citation
SIMONETTI, ANGELICA, "Equivariant smoothings of cusp singularities" (2021). Doctoral Dissertations. 2355.
https://doi.org/10.7275/23342899
https://scholarworks.umass.edu/dissertations_2/2355
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License