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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… Click to show full 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 in the cohomology of an abelian variety isomorphic to a subquotient of T . Second, we prove a universality result for the Kuga-Satake construction applied to Hodge structures of K3 type that might not be polarized.
Keywords:
complex tori;
results hodge;
hodge structure;
two results
Journal Title: Mathematische Zeitschrift
Year Published: 2022
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Journal Title: Mathematische Zeitschrift
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!