English

Desingularization of generic symmetric and generic skew-symmetric determinantal singularities

Algebraic Geometry 2024-03-19 v2 Commutative Algebra

Abstract

We discuss how to resolve generic skew-symmetric and generic symmetric determinantal singularities. The key ingredients are (skew-) symmetry preserving matrix operations in order to deduce an inductive argument.

Keywords

Cite

@article{arxiv.2308.01460,
  title  = {Desingularization of generic symmetric and generic skew-symmetric determinantal singularities},
  author = {Sabrina Alexandra Gaube and Bernd Schober},
  journal= {arXiv preprint arXiv:2308.01460},
  year   = {2024}
}

Comments

14 pages; more details to the proof of Theorem A added. Accepted for publication in manuscripta mathematica