Normality of general elephants on 3-fold terminal flips

preprint2016arXivOpen access

Abstract

We prove that the general elephant EX+∈∣−KX+∣E_{X^+}\in |-K_{X^+}| is normal where X−−>X+X--> X^+ is a 3-fold terminal flip. Hence EX+E_{X^+} has at worst Du Val singularities. As a corollary, there exists no non-Gorenstein singularity of type cE/2cE/2, cD/3cD/3, nor cAx/4cAx/4 on the flipped curve C+C^+.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.