English

Euler sequence for complete smooth k*-surfaces

Algebraic Geometry 2014-06-02 v1

Abstract

In this note we introduce exact sequences of sheaves on a complete smooth k*-surface without elliptic points. These sequences are an attempt to generalize the Euler sequence for a toric variety to complexity one surfaces. As an application we show that such a surface is rigid if and only if it is Fano.

Keywords

Cite

@article{arxiv.1405.7776,
  title  = {Euler sequence for complete smooth k*-surfaces},
  author = {Antonio Laface and Manuel Melo},
  journal= {arXiv preprint arXiv:1405.7776},
  year   = {2014}
}
R2 v1 2026-06-22T04:26:44.789Z