On elimination of variables in the study of singularities in positive characteristic

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dc.contributor.author Benito, A.
dc.contributor.author Villamayoru, O.E.
dc.contributor.other UAM. Departamento de Matemáticas es_ES
dc.date.accessioned 2016-12-05T15:54:53Z
dc.date.available 2016-12-05T15:54:53Z
dc.date.issued 2015
dc.identifier.citation Indiana University Mathematics Journal 64.2 (2015): 357-410 en_US
dc.identifier.issn 0022-2518 (print) es_ES
dc.identifier.issn 1943-5258 (online) es_ES
dc.identifier.uri http://hdl.handle.net/10486/675804
dc.description.abstract The objective of this paper is to discuss invariants of singularities of algebraic schemes over fields of positive characteristic, and to show how they yield the simplification of singularities. We focus here on invariants which arise in an inductive manner, namely by successive elimination of variables. When applied to hypersurface singularities they lead us to a refinement of the notion of multiplicity. The main theorem proves that, under some numerical conditions expressed by these invariants, singularities can be simplified by blowups at centers prescribed by this refinement en_US
dc.description.sponsorship The authors are partially supported by MTM2009-07291 en_US
dc.format.extent 35 pag. es_ES
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher Department of Mathematics, Indiana University en_US
dc.relation.ispartof Indiana University Mathematics Journal en_US
dc.rights © Indiana University Mathematics Journal en_US
dc.subject.other Differential operators en_US
dc.subject.other Positive characteristic en_US
dc.subject.other Rees algebras en_US
dc.subject.other Singularities en_US
dc.title On elimination of variables in the study of singularities in positive characteristic en_US
dc.type article en
dc.subject.eciencia Matemáticas es_ES
dc.relation.publisherversion http://dx.doi.org/10.1512/iumj.2015.64.5492 es_ES
dc.identifier.doi 10.1512/iumj.2015.64.5492 es_ES
dc.identifier.publicationfirstpage 357 es_ES
dc.identifier.publicationissue 2 es_ES
dc.identifier.publicationlastpage 410 es_ES
dc.identifier.publicationvolume 64 es_ES
dc.relation.projectID Gobierno de España. MTM2009-07291 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion en
dc.rights.accessRights openAccess en
dc.authorUAM Villamayor Uriburu, Orlando Eugenio (258982)

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