Articles with "cycles abelian" as a keyword



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Some results about zero‐cycles on abelian and semi‐abelian varieties

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Published in 2019 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201800340

Abstract: In this short note we extend some results obtained in \cite{Gazaki2015}. First, we prove that for an abelian variety $A$ with good ordinary reduction over a finite extension of $\mathbb{Q}_p$ with $p$ an odd prime,… read more here.

Keywords: semi; results zero; semi abelian; cycles abelian ... See more keywords
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Action of correspondences on filtrations on cohomology and 0-cycles of Abelian varieties

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Published in 2018 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-018-2151-9

Abstract: We prove that, given a symmetrically distinguished correspondence of a suitable complex abelian variety (which includes any abelian variety of dimension at most 5, powers of complex elliptic curves, etc.) that vanishes as a morphism… read more here.

Keywords: chow group; complex abelian; variety; automorphism ... See more keywords