Index 1 covers of log terminal surface sigularities
Yujiro Kawamata
TL;DR
This paper studies index 1 covers of 2-dimensional log terminal singularities, showing they are canonical in most characteristics and providing counterexamples in special cases, thereby correcting previous work.
Contribution
It establishes conditions under which index 1 covers are canonical and corrects an earlier error in the literature.
Findings
Index 1 cover is canonical if characteristic ≠ 2 or 3
Counterexamples exist in characteristic 2 and 3
Corrects a previous error in the literature
Abstract
We shall investigate index 1 covers of 2-dimensional log terminal singularities. The main result is that the index 1 cover is canonical if the characteristic of the base field is different from 2 or 3. We also give some counterexamples in the case of characteristic 2 or 3. By using this result, we correct an error in a previous paper.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Polynomial and algebraic computation