Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/31800
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dc.contributor.authorTabuada, Goncalo-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2020-08-24T10:03:48Z-
dc.date.available2020-08-24T10:03:48Z-
dc.date.issued2020-
dc.date.submitted2020-08-20T09:59:48Z-
dc.identifier.citationMATHEMATICAL RESEARCH LETTERS, 27 (2) , p. 565 -589-
dc.identifier.urihttp://hdl.handle.net/1942/31800-
dc.description.abstractIn this short article, given a smooth diagonalizable group scheme G of finite type acting on a smooth quasi-compact separated scheme X, we prove that (after inverting some elements of representation ring of G) all the information concerning the additive invariants of the quotient stack [X/G] is "concentrated" in the subscheme of G-fixed points X-G. Moreover, in the particular case where G is connected and the action has finite stabilizers, we compute the additive invariants of [X/G] using solely the subgroups of roots of unity of G. As an application, we establish a Lefschtez-Riemann-Roch formula for the computation of the additive invariants of proper push-forwards.-
dc.description.sponsorshipG. Tabuada was partially supported by a NSF CAREER Award #1350472 and by the Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes).-
dc.language.isoen-
dc.publisherINT PRESS BOSTON, INC-
dc.rightsby International Press of Boston, Inc. All rights reserved.-
dc.subject.otherCyclic Homology-
dc.subject.otherCategories-
dc.subject.otherFormula-
dc.titleMotivic concentration theorem-
dc.typeJournal Contribution-
dc.identifier.epage589-
dc.identifier.issue2-
dc.identifier.spage565-
dc.identifier.volume27-
local.format.pages25-
local.bibliographicCitation.jcatA1-
dc.description.notesTabuada, G (corresponding author), MIT, Dept Math, Cambridge, MA 02139 USA.; Tabuada, G (corresponding author), FCT UNL, Dept Matemat, Lisbon, Portugal.; Tabuada, G (corresponding author), FCT UNL, Ctr Matemat & Aplicacoes CMA, Lisbon, Portugal.-
dc.description.notestabuada@math.mit.edu; michel.vandenbergh@uhasselt.be-
dc.description.otherTabuada, G (corresponding author), MIT, Dept Math, Cambridge, MA 02139 USA; FCT UNL, Dept Matemat, Lisbon, Portugal; FCT UNL, Ctr Matemat & Aplicacoes CMA, Lisbon, Portugal. tabuada@math.mit.edu; michel.vandenbergh@uhasselt.be-
local.publisher.placePO BOX 43502, SOMERVILLE, MA 02143 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.isiWOS:000540233200010-
dc.identifier.urlhttps://dx.doi.org/10.4310/MRL.2020.v27.n2.a10-
local.provider.typewosris-
local.uhasselt.uhpubyes-
local.description.affiliation[Tabuada, Goncalo] MIT, Dept Math, Cambridge, MA 02139 USA.-
local.description.affiliation[Tabuada, Goncalo] FCT UNL, Dept Matemat, Lisbon, Portugal.-
local.description.affiliation[Tabuada, Goncalo] FCT UNL, Ctr Matemat & Aplicacoes CMA, Lisbon, Portugal.-
local.description.affiliation[Van den Bergh, Michel] Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium.-
item.validationecoom 2021-
item.contributorTabuada, Goncalo-
item.contributorVAN DEN BERGH, Michel-
item.accessRightsClosed Access-
item.fullcitationTabuada, Goncalo & VAN DEN BERGH, Michel (2020) Motivic concentration theorem. In: MATHEMATICAL RESEARCH LETTERS, 27 (2) , p. 565 -589.-
item.fulltextNo Fulltext-
crisitem.journal.issn1073-2780-
crisitem.journal.eissn1945-001X-
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