Commutative algebra of subspace and hyperplane arrangements

Hal Schenck, Jessica Sidman

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Arrangements of linear subspaces have connections with a wealth of mathematical objects in areas as diverse as topology, invariant theory, combinatorics, algebraic geometry, and statistics. Arrangements have also recently played a prominent role in applied mathematics, appearing as key players in data mining and generalized principal component analysis, in the study of the topological complexity of robot motion planning, and in the study of configuration spaces and the Gaudin model of mathematical physics. We give an overview of a number of problems having close connections to commutative algebra and algebraic geometry; the field is very broad so this survey is selective.

Original languageEnglish (US)
Title of host publicationCommutative Algebra
Subtitle of host publicationExpository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday
PublisherSpringer
Pages639-665
Number of pages27
ISBN (Electronic)9781461452928
ISBN (Print)1461452910, 9781461452911
DOIs
StatePublished - Nov 1 2013
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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