Applications of Liaison

J. Migliore; U. Nagel

doi:10.1007/978-3-030-89694-2_17

Applications of Liaison

J. Migliore
, U. Nagel

Mathematics

Producción científica: Chapter › revisión exhaustiva

Resumen

Over the course of more than 150 years a beautiful theory of liaison has emerged. Classically, complete intersections were used for the links. A systematic study of liaison theory where one uses, more generally, arithmetically Gorenstein schemes was begun only in the last few decades. It led to a flurry of new insights and applications. After reviewing some needed concepts and results, several of these applications are discussed. Topics include Hilbert functions and free resolutions, hyperplane arrangements, Gröbner bases, Rees algebras, simplicial complexes and more.

Idioma original	English
Título de la publicación alojada	Commutative Algebra
Subtítulo de la publicación alojada	Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday
Páginas	501-522
Número de páginas	22
ISBN (versión digital)	9783030896942
DOI	https://doi.org/10.1007/978-3-030-89694-2_17
Estado	Published - ene 1 2022

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Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021.

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-030-89694-2_17

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KW - Ferrers ideal

KW - Graded Betti number

KW - Gröbner basis

KW - Hyperplane arrangement

KW - Liaison

KW - Rees algebra

KW - Simplicial polytope

KW - Stick figure

KW - Unprojection

KW - Vertex decomposability

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Applications of Liaison

Resumen

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ASJC Scopus subject areas

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