The Artinian Berger Conjecture

We propose an Artinian version of Berger's Conjecture for curves, concerning the module of K\"ahler differentials of an algebra. Our version implies Berger's Conjecture in characteristic 0. We establish our Artinian Berger Conjecture in a number of cases, and prove that Berger's...

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Autores principales: Cortiñas, Guillermo Horacio, Geller, Susan C., Weibel, Charles A.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1998
Materias:
Matemática
Maximal ideal
Ideal (ring theory)
Gravitational singularity
Collatz conjecture
Algebra over a field
Pure mathematics
Conjecture
Mathematics
Beal's conjecture
Cube (algebra)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123578
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123578
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Maximal ideal
Ideal (ring theory)
Gravitational singularity
Collatz conjecture
Algebra over a field
Pure mathematics
Conjecture
Mathematics
Beal's conjecture
Cube (algebra)
spellingShingle Matemática
Maximal ideal
Ideal (ring theory)
Gravitational singularity
Collatz conjecture
Algebra over a field
Pure mathematics
Conjecture
Mathematics
Beal's conjecture
Cube (algebra)
Cortiñas, Guillermo Horacio
Geller, Susan C.
Weibel, Charles A.
The Artinian Berger Conjecture
topic_facet Matemática
Maximal ideal
Ideal (ring theory)
Gravitational singularity
Collatz conjecture
Algebra over a field
Pure mathematics
Conjecture
Mathematics
Beal's conjecture
Cube (algebra)
description We propose an Artinian version of Berger's Conjecture for curves, concerning the module of K\"ahler differentials of an algebra. Our version implies Berger's Conjecture in characteristic 0. We establish our Artinian Berger Conjecture in a number of cases, and prove that Berger's Conjecture holds for curve singularities whose conductor ideal contains the cube of a maximal ideal.
format Articulo
Preprint
author Cortiñas, Guillermo Horacio
Geller, Susan C.
Weibel, Charles A.
author_facet Cortiñas, Guillermo Horacio
Geller, Susan C.
Weibel, Charles A.
author_sort Cortiñas, Guillermo Horacio
title The Artinian Berger Conjecture
title_short The Artinian Berger Conjecture
title_full The Artinian Berger Conjecture
title_fullStr The Artinian Berger Conjecture
title_full_unstemmed The Artinian Berger Conjecture
title_sort artinian berger conjecture
publishDate 1998
url http://sedici.unlp.edu.ar/handle/10915/123578
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