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The second vanishing theorem in Stanley-Reisner ring with topological interpretation

2021/02/10 by Rajsekhar Bhattacharyya, Bhattacharyya, Rajsekhar
Computer Science · Mathematics · #13D45 #Advanced Combinatorial Mathematics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2102.05270

openalex publication_date 2021/02/10 · openalex created_date 2023/11/22 · openalex updated_date 2026/07/28

Abstract

For regular local ring, the ``second vanishing theorem'' or ``SVT'' of local cohomology has been proved in several cases. In this paper, we explore the result similar to that of the SVT to Stanley-Reisner ring with an interpretation from combinatorial topology.

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