A note on the Picard motive of a variety

Mustafa Devrim Kaba

doi:10.1016/j.indag.2012.01.005

A note on the Picard motive of a variety

Mustafa Devrim Kaba^*

^*Corresponding author for this work

Systems, Control and Applied Analysis

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Abstract

We prove that the Picard motive of a smooth projective variety and the Picard motive of its Albanese variety are isomorphic, under the assumption that both the variety and its Albanese variety have dimension at least 2. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	377-380
Number of pages	4
Journal	Indagationes mathematicae-New series
Volume	23
Issue number	3
DOIs	https://doi.org/10.1016/j.indag.2012.01.005
Publication status	Published - Sep-2012

Keywords

Chow motives
Picard motive
Albanese variety

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10.1016/j.indag.2012.01.005

A note on the Picard motive of a varietyFinal publisher's version, 143 KBLicence: Elsevier

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abstract = "We prove that the Picard motive of a smooth projective variety and the Picard motive of its Albanese variety are isomorphic, under the assumption that both the variety and its Albanese variety have dimension at least 2. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.",

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AB - We prove that the Picard motive of a smooth projective variety and the Picard motive of its Albanese variety are isomorphic, under the assumption that both the variety and its Albanese variety have dimension at least 2. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

KW - Chow motives

KW - Picard motive

KW - Albanese variety

U2 - 10.1016/j.indag.2012.01.005

DO - 10.1016/j.indag.2012.01.005

M3 - Article

VL - 23

SP - 377

EP - 380

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

SN - 0019-3577

IS - 3

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