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Integral Chow motives of threefolds with K-motives of unit type

Sergey Gorchinskiy
대한수학회 (The Korean Mathematical Society)|2017.09|대한수학회보 (Bulletin of the KMS)|제54권 제5호|pp. 1827-1849

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참고문헌

키워드

$K$-motivesChow motivesexceptional collections
주제분류수학

초록

We prove that if a smooth projective algebraic variety of dimension less or equal to three has a unit type integral $K$-motive, then its integral Chow motive is of Lefschetz type. As a consequence, the integral Chow motive is of Lefschetz type for a smooth projective variety of dimension less or equal to three that admits a full exceptional collection.

Abstract

We prove that if a smooth projective algebraic variety of dimension less or equal to three has a unit type integral $K$-motive, then its integral Chow motive is of Lefschetz type. As a consequence, the integral Chow motive is of Lefschetz type for a smooth projective variety of dimension less or equal to three that admits a full exceptional collection.

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