Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040468093> ?p ?o ?g. }
- W2040468093 endingPage "152" @default.
- W2040468093 startingPage "119" @default.
- W2040468093 abstract "The Weil restriction functor, introduced in the late fifties, was recently extended by Karpenko to the category of Chow motives with integer coefficients. In this article we introduce the noncommutative (=NC) analogue of the Weil restriction functor, where schemes are replaced by dg algebras, and extend it to Kontsevich's categories of NC Chow motives and NC numerical motives. Instead of integer coefficients, we work more generally with coefficients in a binomial ring. Along the way, we extend Karpenko's functor to the classical category of numerical motives, and compare this extension with its NC analogue. As an application, we compute the (NC) Chow motive of the Weil restriction of every smooth projective scheme whose category of perfect complexes admits a full exceptional collection. Finally, in the case of central simple algebras, we describe explicitly the NC analogue of the Weil restriction functor using solely the degree of the field extension. This leads to a “categorification” of the classical corestriction homomorphism between Brauer groups." @default.
- W2040468093 created "2016-06-24" @default.
- W2040468093 creator A5068539232 @default.
- W2040468093 date "2015-05-01" @default.
- W2040468093 modified "2023-10-16" @default.
- W2040468093 title "Weil restriction of noncommutative motives" @default.
- W2040468093 cites W1494004446 @default.
- W2040468093 cites W1560018030 @default.
- W2040468093 cites W1574336678 @default.
- W2040468093 cites W1587618887 @default.
- W2040468093 cites W1592858461 @default.
- W2040468093 cites W1614792296 @default.
- W2040468093 cites W1644242576 @default.
- W2040468093 cites W1678980549 @default.
- W2040468093 cites W1679005091 @default.
- W2040468093 cites W1966360965 @default.
- W2040468093 cites W1970046894 @default.
- W2040468093 cites W1994942508 @default.
- W2040468093 cites W2006908431 @default.
- W2040468093 cites W2017180037 @default.
- W2040468093 cites W201935133 @default.
- W2040468093 cites W2023845626 @default.
- W2040468093 cites W2030050542 @default.
- W2040468093 cites W2034354726 @default.
- W2040468093 cites W2035259373 @default.
- W2040468093 cites W2063619670 @default.
- W2040468093 cites W2072440202 @default.
- W2040468093 cites W2082666973 @default.
- W2040468093 cites W2094424906 @default.
- W2040468093 cites W2098806894 @default.
- W2040468093 cites W2107166004 @default.
- W2040468093 cites W2118660796 @default.
- W2040468093 cites W2128062510 @default.
- W2040468093 cites W2144392866 @default.
- W2040468093 cites W2153266150 @default.
- W2040468093 cites W2170808638 @default.
- W2040468093 cites W2317753836 @default.
- W2040468093 cites W2322785704 @default.
- W2040468093 cites W2962716814 @default.
- W2040468093 cites W2963411903 @default.
- W2040468093 cites W2963485311 @default.
- W2040468093 cites W2963756915 @default.
- W2040468093 cites W2963922200 @default.
- W2040468093 cites W2963937435 @default.
- W2040468093 cites W2963985228 @default.
- W2040468093 cites W2964317506 @default.
- W2040468093 cites W3099028911 @default.
- W2040468093 cites W409480478 @default.
- W2040468093 cites W93014080 @default.
- W2040468093 doi "https://doi.org/10.1016/j.jalgebra.2015.02.013" @default.
- W2040468093 hasPublicationYear "2015" @default.
- W2040468093 type Work @default.
- W2040468093 sameAs 2040468093 @default.
- W2040468093 citedByCount "0" @default.
- W2040468093 crossrefType "journal-article" @default.
- W2040468093 hasAuthorship W2040468093A5068539232 @default.
- W2040468093 hasBestOaLocation W20404680932 @default.
- W2040468093 hasConcept C118615104 @default.
- W2040468093 hasConcept C1219285 @default.
- W2040468093 hasConcept C156772000 @default.
- W2040468093 hasConcept C199360897 @default.
- W2040468093 hasConcept C202444582 @default.
- W2040468093 hasConcept C33923547 @default.
- W2040468093 hasConcept C4042151 @default.
- W2040468093 hasConcept C41008148 @default.
- W2040468093 hasConcept C68797384 @default.
- W2040468093 hasConcept C9652623 @default.
- W2040468093 hasConcept C97137487 @default.
- W2040468093 hasConceptScore W2040468093C118615104 @default.
- W2040468093 hasConceptScore W2040468093C1219285 @default.
- W2040468093 hasConceptScore W2040468093C156772000 @default.
- W2040468093 hasConceptScore W2040468093C199360897 @default.
- W2040468093 hasConceptScore W2040468093C202444582 @default.
- W2040468093 hasConceptScore W2040468093C33923547 @default.
- W2040468093 hasConceptScore W2040468093C4042151 @default.
- W2040468093 hasConceptScore W2040468093C41008148 @default.
- W2040468093 hasConceptScore W2040468093C68797384 @default.
- W2040468093 hasConceptScore W2040468093C9652623 @default.
- W2040468093 hasConceptScore W2040468093C97137487 @default.
- W2040468093 hasFunder F4320306076 @default.
- W2040468093 hasLocation W20404680931 @default.
- W2040468093 hasLocation W20404680932 @default.
- W2040468093 hasOpenAccess W2040468093 @default.
- W2040468093 hasPrimaryLocation W20404680931 @default.
- W2040468093 hasRelatedWork W2021915098 @default.
- W2040468093 hasRelatedWork W2040468093 @default.
- W2040468093 hasRelatedWork W2100740747 @default.
- W2040468093 hasRelatedWork W2155050778 @default.
- W2040468093 hasRelatedWork W2326718950 @default.
- W2040468093 hasRelatedWork W2899975002 @default.
- W2040468093 hasRelatedWork W4242301031 @default.
- W2040468093 hasRelatedWork W4247287310 @default.
- W2040468093 hasRelatedWork W4249484733 @default.
- W2040468093 hasRelatedWork W4250156773 @default.
- W2040468093 hasVolume "430" @default.
- W2040468093 isParatext "false" @default.
- W2040468093 isRetracted "false" @default.
- W2040468093 magId "2040468093" @default.