On Aluffi's problem and blowup algebras of certain modules
DOI10.1016/j.jpaa.2016.08.004zbMath1359.13028OpenAlexW2515120363MaRDI QIDQ343579
Publication date: 28 November 2016
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.2016.08.004
associated graded ringRees algebrasymmetric algebraalgebraic hypersurfacemodule of derivationsmodule of tangent vector fieldsquasi-symmetric algebra
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) 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) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Low codimension problems in algebraic geometry (14M07) Other special types of modules and ideals in commutative rings (13C13) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Homological methods in commutative ring theory (13D99) Dynamical aspects of holomorphic foliations and vector fields (37F75) Theory of modules and ideals in commutative rings (13C99) Torsion modules and ideals in commutative rings (13C12)
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Cites Work
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- Tangential idealizers and differential ideals
- Vector fields and a family of linear type modules related to free divisors
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- Shadows of blow-up algebras
- Rees Algebras of Modules
- What is the Rees algebra of a module?
- The Aluffi algebra
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