On minimal log discrepancies and Koll\'ar components

Autor:	Moraga, Joaquín
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Primary: 14E30 Secondary: 14B05
Druh dokumentu:	Working Paper
Popis:	In this article we prove a local implication of boundedness of Fano varieties. More precisely, we prove that $d$-dimensional $a$-log canonical singularities, with standard coefficients, which admit an $\epsilon$-plt blow-up have minimal log discrepancies belonging to a finite set which only depends on $d,a$ and $\epsilon$. This result gives a natural geometric stratification of the possible mld's in a fixed dimension by finite sets. As an application, we prove the ascending chain condition for minimal log discrepancies of exceptional singularities. We also introduce an invariant for klt singularities related to the total discrepancy of Koll\'ar components. Comment: 15 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.10137 Zobrazit plný text záznamu View this record from Arxiv