The projective analytic spectrum of the double of a module

2025/05/23 by Terence Gaffney, Gaffney, Terence, Thiago da Silva +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2505.18387

openalex publication_date 2025/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we investigate the projectivized analytic spectrum of the double of a module, establishing some general properties, and we apply these results to Projan(\cR((JM(X))_D)) over the origin in C× C, where C is an irreducible curve in a hypersurface X.

Citations

• The genericity of the infinitesimal Lipschitz condition for hypersurfaces
• Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
• Clôture intégrale des idéaux et équisingularité
• The Multiplicity-Polar Theorem
• Specialization of integral dependence for modules

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• On Hilbert Functions of Points in Projective Space and Structure of Graded Modules