Linear spaces, transversal polymatroids and ASL domains

Aldo Conca

Linear spaces, transversal polymatroids and ASL domains

交换代数 2007-05-23 v1 组合数学

作者: Aldo Conca

摘要

Let $K$ be an infinite field and $R=K[x_1,...,x_n]$ be the polynomial ring. Let $V=V_1, ..., V_m$ be a collection of vector spaces of linear forms. Denote by $A(V)$ the $K$ -subalgebra of $R$ generated by the elements of the product $V_1... V_m$ . Our goal is to investigate the properties of the algebra $A(V)$ and the relations with two problems in algebraic combinatorics White's and related conjectures on polymatroids and the study of integral posets.

关键词

algebraic geometry graded algebras lie algebra

引用

@article{arxiv.math/0504111,
  title  = {Linear spaces, transversal polymatroids and ASL domains},
  author = {Aldo Conca},
  journal= {arXiv preprint arXiv:math/0504111},
  year   = {2007}
}

Linear spaces, transversal polymatroids and ASL domains

摘要

关键词

引用

相关论文