Some results about zero‐cycles on abelian and semi‐abelian varieties
Sign Up to like & getrecommendations! 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
Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7911
Abstract: We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. We show that local-global principles hold for such… read more here.
Keywords: principles zero; local global; homogeneous spaces; global principles ... See more keywords
The Brauer–Manin Obstruction for Zero-Cycles on K3 Surfaces
Sign Up to like & getrecommendations! Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz109
Abstract: We study local–global principles for zero-cycles on $K3$ surfaces defined over number fields. We follow an idea of Liang to use the trivial fibration over the projective line. read more here.
Keywords: manin obstruction; cycles surfaces; zero cycles; brauer manin ... See more keywords