Arakelov (in)equalities
Eckart Viehweg
TL;DR
This paper explores numerical conditions related to families of projective varieties and variations of Hodge structures, aiming to understand their geometric and arithmetic properties.
Contribution
It introduces new numerical inequalities and conditions that characterize families of projective varieties and variations of Hodge structures.
Findings
Derived new numerical inequalities for families of projective varieties.
Established conditions linking Hodge structures to geometric properties.
Provided insights into the arithmetic implications of these inequalities.
Abstract
We discuss several numerical conditions for families of projective varieties or variations of Hodge structures.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Polynomial and algebraic computation