Local cohomology -- an invitation
Uli Walther, Wenliang Zhang
TL;DR
This paper provides an accessible introduction and survey of local cohomology, highlighting its fundamental concepts, developments, and significance in algebraic geometry and commutative algebra.
Contribution
It offers a comprehensive overview of local cohomology, making the subject more approachable for newcomers and summarizing key advancements in the field.
Findings
Summarizes core concepts of local cohomology
Highlights recent developments and open problems
Provides a structured overview for newcomers
Abstract
This article is part introduction and part survey to the mathematical area centered around local cohomology.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models