Virus infections, Corona surfaces, and extra components in the moduli space of stable surfaces

Autor:	Rollenske, Sönke
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry 14J10 14J29
Druh dokumentu:	Working Paper
Popis:	We construct examples of non-smoothable stable surfaces, that we call Corona surfaces, with invariants in a wide range comprising all possible invariants of smooth minimal surfaces of general type but non-standard second plurigenus. We deduce that the moduli space of stable surfaces $\overline{\mathfrak M}_{k,l}$ has least $k-l+2$ connected components distinguished by the second plurigenus and, in particular, it always has more irreducible components than the Gieseker moduli space with the same invariants. Comment: Disclaimer: While the language and the pictures in this note are inspired by current events, the actual content is a result of pure mathematics not related to medical research. 9 pages, 11 figures. v2: updated result to distinguish connected components
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.16893 Zobrazit plný text záznamu View this record from Arxiv