Powers of Ideals: Betti Numbers, Cohomology and Regularity

DOI10.1007/978-1-4614-5292-8_9zbMath1262.13026OpenAlexW186852578MaRDI QIDQ4915760

Marc Chardin

Publication date: 12 April 2013

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

Full work available at URL: https://doi.org/10.1007/978-1-4614-5292-8_9

zbMATH Keywords

regularityfiniteness propertiesRees algebraBetti numbershomological invariants of powers

Mathematics Subject Classification ID

History of mathematics in the 21st century (01A61) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) History of commutative algebra (13-03)

Related Items (13)

A study of a family of monomial ideals ⋮ Castelnuovo–Mumford Regularity and Powers ⋮ On regularity of Rees algebras of edge ideals of cone graphs ⋮ Powers of sums and their homological invariants ⋮ Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ Bounds on degrees of birational maps with arithmetically Cohen-Macaulay graphs ⋮ On the index of powers of edge ideals ⋮ Edge ideals with almost maximal finite index and their powers ⋮ Homological invariants of powers of fiber products ⋮ Defining Equations of Blowup Algebras ⋮ Regularity stabilization for the powers of graded $\operatorname {\frak {M}}$-primary ideals ⋮ On regularity of symbolic Rees algebras and symbolic powers of vertex cover ideals of graphs

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