2007/01/18 by Anurag K. Singh, Uli Walther, Singh, Anurag K. +1
Mathematics · #13A35 #13D45 #13H05 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13A35 #msc:13D45 #msc:13H05
paper · pdf · doi:10.48550/arxiv.math/0701524
openalex publication_date 2007/01/18 · arxiv created 2007/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a question raised by Eisenbud, Mustata, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answers to this question which extend earlier results of Lyubeznik. In the process, we also prove a vanishing theorem for local cohomology modules which connects theorems previously known in the case of positive characteristic and in the case of monomial ideals.