Symbolic powers of codimension two Cohen-Macaulay ideals

DOI10.1080/00927872.2020.1769120zbMath1472.13022arXiv1606.00935OpenAlexW3034001195MaRDI QIDQ5119190

Anna Lorenzini, Elena Guardo, Adam Van Tuyl, Alexandra Seceleanu, Giuliana Fatabbi, Juan C. Migliore, Susan Marie Cooper, Justyna Szpond, Uwe Nagel

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00935

zbMATH Keywords

arithmetically Cohen-Macaulaysymbolic powerslocally complete intersectioncodimension twopoints in \(\mathbb P^1 \times \mathbb P^1\)

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Linkage, complete intersections and determinantal ideals (13C40) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20)

Related Items (12)

Saturation bounds for smooth varieties ⋮ On the strong Lefschetz problem for uniform powers of general linear forms in 𝑘[𝑥,𝑦,𝑧] ⋮ Comparison of symbolic and ordinary powers of parity binomial edge ideals ⋮ Implicitization of tensor product surfaces via virtual projective resolutions ⋮ ON THE BETTI NUMBERS OF THREE FAT POINTS IN ℙ 1 × ℙ 1 ⋮ The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces ⋮ Extreme values of the resurgence for homogeneous ideals in polynomial rings ⋮ Kähler differentials for fat point schemes in \(\mathbb{P}^1\times\mathbb{P}^1\) ⋮ The ACM property for unions of lines in \(\mathbb{P}^1 \times \mathbb{P}^2\) ⋮ Fattening of ACM arrangements of codimension 2 subspaces in ℙN ⋮ All symbolic powers and ordinary powers of the defining ideal of a fat nearly-complete intersection are equal ⋮ Symbolic powers in weighted oriented graphs

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