Symbolic Powers of Monomial Ideals
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Publication:2976351
DOI10.1017/S0013091516000110zbMath1376.13010arXiv1309.5082MaRDI QIDQ2976351
Huy Tái Hà, Andrew H. Hoefel, Robert J. D. Embree, Susan Marie Cooper
Publication date: 28 April 2017
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.5082
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Projective techniques in algebraic geometry (14N05)
Related Items (36)
A study of a family of monomial ideals ⋮ Limit behavior of the rational powers of monomial ideals ⋮ Resurgence numbers of fiber products of projective schemes ⋮ Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs ⋮ Symbolic defects of edge ideals of unicyclic graphs ⋮ Consequences of the packing problem ⋮ Convex bodies and asymptotic invariants for powers of monomial ideals ⋮ Symbolic Rees Algebras ⋮ The strong persistence property and symbolic strong persistence property ⋮ Comparing symbolic powers of edge ideals of weighted oriented graphs ⋮ Demailly's conjecture and the containment problem ⋮ Ideal containments under flat extensions ⋮ Calculations involving symbolic powers ⋮ Powers of Principal Q-Borel ideals ⋮ Differentially fixed ideals in affine semigroup rings ⋮ Properties of symbolic powers of edge ideals of weighted oriented graphs ⋮ Duality for asymptotic invariants of graded families ⋮ Symbolic power decompositions of disjoint cycle graphs ⋮ Equality of ordinary and symbolic powers of some classes of monomial ideals ⋮ Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs ⋮ Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\) ⋮ Steiner systems and configurations of points ⋮ On the containment hierarchy for simplicial ideals ⋮ On resurgence via asymptotic resurgence ⋮ Membership criteria and containments of powers of monomial ideals ⋮ Regularity and Koszul property of symbolic powers of monomial ideals ⋮ The Waldschmidt constant for squarefree monomial ideals ⋮ Symbolic powers of sums of ideals ⋮ Comparing powers of edge ideals ⋮ Asymptotic resurgence via integral closures ⋮ Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals ⋮ Symbolic powers in weighted oriented graphs ⋮ On the resurgence and asymptotic resurgence of homogeneous ideals ⋮ Computing rational powers of monomial ideals ⋮ Chudnovsky’s conjecture and the stable Harbourne–Huneke containment ⋮ A duality theorem for the ic-resurgence of edge ideals
Cites Work
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- Containment results for ideals of various configurations of points in \(\mathbb P^N\)
- Symbolic powers of ideals of generic points in \(\mathbb P^3\)
- Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\)
- Comparison of symbolic and ordinary powers of ideals.
- Counterexamples to the \(I^{(3)}\subset I^2\) containment
- Comparing powers and symbolic powers of ideals
- Lectures on Polytopes
- Uniform bounds and symbolic powers on smooth varieties
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