Graded derivation modules and algebraic free divisors

DOI10.1016/j.jpaa.2015.05.026zbMath1327.13096OpenAlexW2202029609MaRDI QIDQ494102

Cleto B. Miranda-Neto

Publication date: 31 August 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.05.026

zbMATH Keywords

derivationsHilbert functionCastelnuovo-Mumford regularityhypersurfacesfree divisorsUlrich modules

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Derivations and commutative rings (13N15) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Hypersurfaces and algebraic geometry (14J70) Other special types of modules and ideals in commutative rings (13C13) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items

Number of generators of derivation modules of some hypersurfaces, The module of logarithmic derivations of a generic determinantal ideal, On Special Fiber Rings of Modules, A family of reflexive vector bundles of reduction number one

Uses Software

• Macaulay2

Cites Work

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