On the multiplicity of tangent cones of monomial curves

Alessio Sammartano University of Notre Dame

Algebraic Geometry mathscidoc:1912.43036

Arkiv for Matematik, 57, (1), 214-225, 2019
Let Λ be a numerical semigroup, C⊆An the monomial curve singularity associated to Λ, and T its tangent cone. In this paper we provide a sharp upper bound for the least positive integer in Λ in terms of the codimension and the maximum degree of the equations of T, when T is not a complete intersection. A special case of this result settles a question of J. Herzog and D. Stamate.
multiplicity, degree, associated graded ring, tangent cone, monomial curve, numerical semigroup, Betti numbers, initial ideal
[ Download ] [ 2019-12-04 13:44:51 uploaded by arkivadmin ] [ 327 downloads ] [ 0 comments ]
@inproceedings{alessio2019on,
  title={On the multiplicity of tangent cones of monomial curves},
  author={Alessio Sammartano},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204134451768442592},
  booktitle={Arkiv for Matematik},
  volume={57},
  number={1},
  pages={214-225},
  year={2019},
}
Alessio Sammartano. On the multiplicity of tangent cones of monomial curves. 2019. Vol. 57. In Arkiv for Matematik. pp.214-225. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204134451768442592.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved