English

On the relation between Betti numbers of an Arf semigroup and its blowup

Commutative Algebra 2014-12-12 v1 Group Theory

Abstract

In this note we prove the relation between Betti numbers of an Arf semigroup SS and its blowup SS' in the case when they have the same multiplicity nn. The relation is then βi,s(S)=βi,s+(i+1)n(S)\beta_{i,s}(S')=\beta_{i,{s+(i+1)n}}(S).

Keywords

Cite

@article{arxiv.1412.3748,
  title  = {On the relation between Betti numbers of an Arf semigroup and its blowup},
  author = {Michał Lasoń},
  journal= {arXiv preprint arXiv:1412.3748},
  year   = {2014}
}

Comments

final version, 4 pages