Finitude à la Kimura de fibrations en quadriques sur des courbes lisses

Gonçalo Tabuada

doi:10.1016/j.crma.2017.05.006

Finitude à la Kimura de fibrations en quadriques sur des courbes lisses

Translated title of the contribution: Kimura-finiteness of quadric fibrations over smooth curves

Gonçalo Tabuada

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

Translated title of the contribution	Kimura-finiteness of quadric fibrations over smooth curves
Original language	French
Pages (from-to)	628-632
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2017.05.006
Publication status	Published - 1 Jun 2017

Access to Document

10.1016/j.crma.2017.05.006

Cite this

@article{91373ee8cfc844878c4adeab759501ac,

title = "Finitude {\`a} la Kimura de fibrations en quadriques sur des courbes lisses",

abstract = "Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.",

author = "Gon{\c c}alo Tabuada",

note = "Sem pdf conforme despacho. National Science Foundation CAREER Award 1350472 Portuguese Foundation for Science and Technology PEst-OE/MA/UI0297/2014 ",

year = "2017",

month = jun,

day = "1",

doi = "10.1016/j.crma.2017.05.006",

language = "French",

volume = "355",

pages = "628--632",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Elsevier Science B.V., Amsterdam.",

number = "6",

}

TY - JOUR

T1 - Finitude à la Kimura de fibrations en quadriques sur des courbes lisses

AU - Tabuada, Gonçalo

N1 - Sem pdf conforme despacho. National Science Foundation CAREER Award 1350472 Portuguese Foundation for Science and Technology PEst-OE/MA/UI0297/2014

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

AB - Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

UR - http://www.scopus.com/inward/record.url?scp=85020186337&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2017.05.006

DO - 10.1016/j.crma.2017.05.006

M3 - Article

AN - SCOPUS:85020186337

VL - 355

SP - 628

EP - 632

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 6

ER -

Finitude à la Kimura de fibrations en quadriques sur des courbes lisses

Abstract

Access to Document

Other files and links

Fingerprint

Cite this