Determinantal Ideals

Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commut...

ver descrição completa

Na minha lista:
Detalhes bibliográficos
Principais autores: Miró-Roig, Rosa M., SpringerLink (Online service)
Formato: Digital
Publicado em:
Assuntos:
Álgebra.
Lógica combinatória.
Matemática.
Endereço do item:http://dx.doi.org/10.1007/978-3-7643-8535-4
Tags: Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
id oai:localhost:123456789-129830
record_format dspace
spelling oai:localhost:123456789-1298302023-07-17T15:13:19Z Determinantal Ideals Miró-Roig, Rosa M. SpringerLink (Online service) Álgebra. Lógica combinatória. Matemática. Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. 0 2022-10-06T07:52:02Z 2022-10-06T07:52:02Z 2008. Digital 512 M676d 9783764385354 197901 http://dx.doi.org/10.1007/978-3-7643-8535-4 http://dx.doi.org/10.1007/978-3-7643-8535-4
institution Acervo SISBI
collection SIGAA
topic Álgebra.
Lógica combinatória.
Matemática.
spellingShingle Álgebra.
Lógica combinatória.
Matemática.
Miró-Roig, Rosa M.
SpringerLink (Online service)
Determinantal Ideals
description Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals.
format Digital
author Miró-Roig, Rosa M.
SpringerLink (Online service)
author_facet Miró-Roig, Rosa M.
SpringerLink (Online service)
author_sort Miró-Roig, Rosa M.
title Determinantal Ideals
title_short Determinantal Ideals
title_full Determinantal Ideals
title_fullStr Determinantal Ideals
title_full_unstemmed Determinantal Ideals
title_sort determinantal ideals
publishDate 2022
url http://dx.doi.org/10.1007/978-3-7643-8535-4
work_keys_str_mv AT miroroigrosam determinantalideals
AT springerlinkonlineservice determinantalideals
_version_ 1771689956756946944

Registros relacionados