Verwandte Artikel zu Reflexive Modules on Normal Gorenstein Stein Surfaces,...

Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli (Memoirs of the American Mathematical Society, 298) - Softcover

Bobadilla, Javier Fernandez De; Romano-velazquez, Agustin

 
9781470470531: Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli (Memoirs of the American Mathematical Society, 298)
Softcover
ISBN 10: 1470470535 ISBN 13: 9781470470531
Verlag: American Mathematical Society, 2024

Inhaltsangabe

"In this paper we generalize Artin-Verdier, Esnault and Wunram construction of McKay correspondence to arbitrary Gorenstein surface singularities. The key idea is the definition and a systematic use of a degeneracy module, which is an enhancement of the first Chern class construction via a degeneracy locus. We study also deformation and moduli questions. Among our main result we quote: a full classification of special reflexive MCM modules on normal Gorenstein surface singularities in terms of divisorialvaluations centered at the singularity, a first Chern class determination at an adequate resolution of singularities, construction of moduli spaces of special reflexive modules, a complete classification of Gorenstein normal surface singularities in representation types, and a study on the deformation theory of MCM modules and its interaction with their pullbacks at resolutions. For the proof of these theorems it is crucial to establish several isomorphisms between different deformation functors, that weexpect that will be useful in further work as well"-- Provided by publisher.

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Über die Autorin bzw. den Autor

Javier Fernandez de Bobadilla, Basque Foundation for Science, Bilbao, Basque Country, Spain, and Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain, and Agustin Romano-Velazquez, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos, Mexico.

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Verlag
American Mathematical Society
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
1470470535
ISBN 13 
9781470470531
Einband
Taschenbuch
Anzahl der Seiten
94
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

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