English

On taut singularities in arbitrary characteristics

Algebraic Geometry 2013-03-26 v1

Abstract

Over \C\C, Henry Laufer classified all taut surface singularities. We adapt and extent his transcendental methods to positive characteristic. With this we show that if a normal surface singularity is taut over \C\C, then the normal surface singularities with isomorphic dual graph over algebraically closed fields of characteristic exponent p>1p>1 are taut for all but finitely many pp. We conjecture that this is actually "if and only if".

Keywords

Cite

@article{arxiv.1303.6128,
  title  = {On taut singularities in arbitrary characteristics},
  author = {Felix Schüller},
  journal= {arXiv preprint arXiv:1303.6128},
  year   = {2013}
}
R2 v1 2026-06-21T23:47:41.349Z