Shadows of blow-up algebras

DOI10.2748/tmj/1113246753zbMath1061.14006arXivmath/0201228OpenAlexW2039517653MaRDI QIDQ1772213

Paolo Aluffi

Publication date: 15 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201228

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (15)

Involutions of varieties and Rost's degree formula ⋮ Segre Classes and Invariants of Singular Varieties ⋮ An analogue of the Aluffi algebra for modules ⋮ The Aluffi algebra of the Jacobian of points in projective space: torsion-freeness ⋮ On Aluffi's problem and blowup algebras of certain modules ⋮ The Segre zeta function of an ideal ⋮ Chern classes and characteristic cycles of determinantal varieties ⋮ Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture ⋮ Aluffi torsion-free ideals ⋮ Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells ⋮ An intrinsic definition of the Rees algebra of a module ⋮ Hypersurfaces with linear type singular loci ⋮ The Aluffi algebra of hypersurfaces with isolated singularities ⋮ Torsion-free Aluffi algebras ⋮ An alternating matrix and a vector, with application to Aluffi algebras

Uses Software

• Macaulay2
• CSM-A

Cites Work

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• Macpherson's chern classes of singular algebraic varieties
• Intersection Theory of Linear Embeddings
• Chern classes for singular hypersurfaces
• Classes de Chern des intersections complètes locales
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