CORDIS Project
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This project investigates two long-standing conjectures in arithmetic geometry related to projective varieties over finite and number fields. It aims to explore new approaches to these conjectures, which have significant implications for the topology of algebraic varieties.
The goal of this project is to investigate two conjectures in arithmetic geometry pertaining to the geometry of projective varieties over finite and number fields.
These two conjectures, formulated by Tate and Grothendieck in the 1960s, predict which cohomology classes are chern classes of line bundles.
They both form an arithmetic counterpart of a theorem of Lefschetz, proved in the 1940s, which itself is the only known case of the Hodge conjecture.
These two long-standing conjectures are one o…
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