Bass Numbers of the First Nonzero Local Cohomology Module

2024/02/24 by Andrew J. Soto Levins, Levins, Andrew J. Soto
Mathematics · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2402.15667

Abstract

Let R be a regular local ring containing a field, let I be an ideal with d=htI, and assume htp=d for every minimal prime p of I. We compute the Bass numbers μ⁰(q,H_I^d(R)) and μ¹(q,H_I^d(R)) for all primes q. We then study μ²(q,H_I^d(R)) by considering the associated primes of H_I^d+1(R).

Related

• Bass numbers of local cohomology modules with respect a pair of ideals
• Bass numbers over local rings via stable cohomology
• Bounds on Bass numbers of local cohomology modules
• On the finiteness of Bass numbers of local cohomology modules and Cominimaxness
• On injective resolutions of local cohomology modules