Symbolic powers of sums of ideals

DOI10.1007/s00209-019-02323-8zbMath1437.13024arXiv1702.01766OpenAlexW3101331868MaRDI QIDQ2304330

Tran Nam Trung, Ngô Viêt Trung, Dang Hop Nguyen, Huy Tái Hà

Publication date: 11 March 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01766

zbMATH Keywords

depthCastelnuovo-Mumford regularitysymbolic powertensor productsum of idealsdepth functionassociated primebinomial expansiontor-vanishing

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (27)

Powers of sums and their associated primes ⋮ Resurgence numbers of fiber products of projective schemes ⋮ The Alexander–Hirschowitz Theorem and Related Problems ⋮ Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Integral closure of powers of edge ideals and their regularity ⋮ Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal ⋮ Geometric vertex decomposition and liaison for toric ideals of graphs ⋮ Properties of symbolic powers of edge ideals of weighted oriented graphs ⋮ Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\) ⋮ Binomial expansion for saturated and symbolic powers of sums of ideals ⋮ Lower bounds for the depth of symbolic powers of edge ideals of graphs ⋮ Symbolic powers and free resolutions of generalized star configurations of hypersurfaces ⋮ Integral closures of powers of sums of ideals ⋮ A sharp bound for the resurgence of sums of ideals ⋮ Regularity of symbolic powers of edge ideals of Cameron-Walker graphs ⋮ Symbolic powers of edge ideals of graphs ⋮ Depth of powers of generalized Hibi ideals ⋮ The \(v\)-number of edge ideals ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals ⋮ Stability of depth functions of cover ideals of balanced hypergraphs ⋮ Maximal depth property of bigraded modules ⋮ Licci binomial edge ideals ⋮ Certain algebraic invariants of edge ideals of join of graphs ⋮ Depth functions of powers of homogeneous ideals ⋮ On the resurgence and asymptotic resurgence of homogeneous ideals ⋮ On the equality of symbolic and ordinary powers of binomial edge ideals ⋮ Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Uses Software

• Macaulay2

Cites Work

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