English

On the Nash problem for terminal threefolds of type $cA/r$

Algebraic Geometry 2019-07-16 v1

Abstract

We study Nash valuations and essential valuations of terminal threefolds of type cA/rcA/r. If r=1r=1 or the given threefold is Q\mathbb Q-factorial, then all the Nash valuations and essential valuations can be completely described. We construct non-Gorenstein or non-Q\mathbb Q-factorial counter examples for the Nash problem.

Keywords

Cite

@article{arxiv.1907.06326,
  title  = {On the Nash problem for terminal threefolds of type $cA/r$},
  author = {Hsin-Ku Chen},
  journal= {arXiv preprint arXiv:1907.06326},
  year   = {2019}
}