Relative perfect complexes

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticases_ES
dc.contributor.authorAlonso Tarrío, Leovigildo
dc.contributor.authorJeremías López, Ana
dc.contributor.authorSancho de Salas, Fernando
dc.date.accessioned2023-07-07T11:16:09Z
dc.date.available2023-07-07T11:16:09Z
dc.date.issued2023
dc.description.abstractLet f:X→Y be a morphism of concentrated schemes. We characterize f-perfect complexes E as those such that the functor E⊗LLXLLf∗− preserves bounded complexes. We prove, as a consequence, that a quasi-proper morphism takes relative perfect complexes into perfect ones. We obtain a generalized version of the semicontinuity theorem of dimension of cohomology and Grauert’s base change of the fibers. Finally, a bivariant theory of the Grothendieck group of perfect complexes is developedes_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Naturees_ES
dc.identifier.citationAlonso Tarrío, L., Jeremías López, A. & Sancho de Salas, F. Relative perfect complexes. Math. Z. 304, 42 (2023). https://doi.org/10.1007/s00209-023-03294-7es_ES
dc.identifier.doi10.1007/s00209-023-03294-7
dc.identifier.essn1432-1823
dc.identifier.issn0025-5874
dc.identifier.urihttp://hdl.handle.net/10347/30854
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s00209-023-03294-7es_ES
dc.rights© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ Atribución 4.0 Internacionales_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectPerfect complexeses_ES
dc.subjectMathematicses_ES
dc.subjectAlgebraes_ES
dc.titleRelative perfect complexeses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
relation.isAuthorOfPublicationa69895cd-07f7-4ef1-b897-3c9c30caf9fb
relation.isAuthorOfPublicationf838a8fd-26e3-42f1-ad7a-fba59d216c64
relation.isAuthorOfPublication.latestForDiscoverya69895cd-07f7-4ef1-b897-3c9c30caf9fb

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2023_matzei_alonso_relative.pdf
Size:
628.48 KB
Format:
Adobe Portable Document Format
Description:
Artigo de revista
Download

Collections

Matemáticas