Restricted classes of Veronese type ideals and algebras

Rodica Dinu; Jürgen Herzog; Ayesha Asloob Qureshi

Restricted classes of Veronese type ideals and algebras

Commutative Algebra 2020-05-20 v1

Authors: Rodica Dinu , Jürgen Herzog , Ayesha Asloob Qureshi

Abstract

We study ideals which are generated by monomials of degree $d$ in the polynomial ring in $n$ variables and which satisfy certain numerical side conditions regarding their exponents. Typical examples of such ideals are the ideals of Veronese type, squarefree Veronese ideals or $t$ -spread Veronese ideals. In this paper we focus on $c$ -bounded $t$ -spread Veronese ideals and on Veronese ideals of bounded support. Their powers as well as their fiber cone is also be considered.

Keywords

veronese type ideals monomial ideals t-spread veronese ideals bounded support fiber cone powers of ideals

Cite

@article{arxiv.2005.09601,
  title  = {Restricted classes of Veronese type ideals and algebras},
  author = {Rodica Dinu and Jürgen Herzog and Ayesha Asloob Qureshi},
  journal= {arXiv preprint arXiv:2005.09601},
  year   = {2020}
}

Restricted classes of Veronese type ideals and algebras

Abstract

Keywords

Cite

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