English

Degenerations over $(A_\infty)$-singularities and construction of degenerations over commutative rings

Commutative Algebra 2018-03-01 v1 Representation Theory

Abstract

We give a necessary condition of degeneration via matrix representations, and consider degenerations of indecomposable Cohen-Macaulay modules over hypersurface singularities of type (AA_\infty). We also provide a method to construct degenerations of finitely generated modules over commutative rings.

Keywords

Cite

@article{arxiv.1802.10277,
  title  = {Degenerations over $(A_\infty)$-singularities and construction of degenerations over commutative rings},
  author = {Naoya Hiramatsu and Ryo Takahashi and Yuji Yoshino},
  journal= {arXiv preprint arXiv:1802.10277},
  year   = {2018}
}

Comments

10 pages