Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics

DOI10.1007/978-3-030-45247-6zbMath1445.13001OpenAlexW4235662422MaRDI QIDQ2181150

Adam Van Tuyl, Enrico Carlini, Brian Harbourne, Huy Tái Hà

Publication date: 18 May 2020

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-45247-6

zbMATH Keywords

regularitydecompositionspowers of idealsWaring problemsymbolic powersedge idealshomogeneous idealscontainment problemunexpected hypersurfaces

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Homological methods in commutative ring theory (13Dxx) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

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Strong persistence and associated primes of powers of monomial ideals ⋮ Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ The Alexander–Hirschowitz Theorem and Related Problems ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Morse resolutions of powers of square-free monomial ideals of projective dimension one ⋮ Demailly's conjecture and the containment problem ⋮ Powers of Principal Q-Borel ideals ⋮ Initial degree of symbolic powers of ideals of Fermat configurations of points ⋮ Componentwise linearity of powers of cover ideals ⋮ A sharp bound for the resurgence of sums of ideals ⋮ Symbolic powers of codimension two Cohen-Macaulay ideals ⋮ Symbolic powers of edge ideals of graphs ⋮ Regularity of powers of squarefree monomial ideals ⋮ Chudnovsky’s conjecture and the stable Harbourne–Huneke containment ⋮ On the Waldschmidt constant of square-free principal Borel ideals ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

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