Two results on the Hodge structure of complex tori
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-022-02996-8
Abstract: We prove two results regarding Hodge structures appearing in the cohomology of complex tori. First, we prove that if a polarizable Hodge structure appears in the cohomology of a complex torus T , it appears… read more here.
Keywords: complex tori; results hodge; hodge structure; two results ... See more keywords
Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.04.009
Abstract: Abstract We study the Hodge structure of elliptic surfaces which are canonically defined from bielliptic curves of genus three. We prove that the period map for the second cohomology has one dimensional fibers, and the… read more here.
Keywords: genus three; hodge structure; curves genus; bielliptic curves ... See more keywords