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Stanley depth of square free Veronese ideals

Mircea Cimpoeas

Abstract

We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.

Stanley depth of square free Veronese ideals

Abstract

We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.

Paper Structure

This paper contains 1 section, 5 theorems, 7 equations.

Table of Contents

  1. Main results

Key Result

Theorem 1.1

(1) $\operatorname{sdepth}(S/I_{n,d})=d-1$. (2) $d\leq \operatorname{sdepth}(I_{n,d}) \leq \frac{n-d}{d+1} + d$.

Theorems & Definitions (10)

  • Theorem 1.1
  • proof
  • Corollary 1.2
  • Theorem 1.3
  • proof
  • Corollary 1.4
  • proof
  • Corollary 1.5
  • proof
  • Conjecture 1.6