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math.AG2022★ 2 cited
A complete answer to Albanese base change for incomplete varieties
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
Albanese varieties provide a standard tool in algebraic geometry for converting questions about varieties in general, to questions about Abelian varieties. A result of Serre provid…
math.AG2022
Effective zero-cycles and the Bloch-Beilinson filtration
Olivier Martin, Charles Vial
A conjecture of Voisin states that two points on a smooth projective complex variety whose algebra of holomorphic forms is generated in degree 2 are rationally equivalent to each o…
math.AG2022★ 1 cited
De Rham-Betti classes with coefficients
Tobias Kreutz, Mingmin Shen, Charles Vial
Let and be algebraic extensions of the rational numbers inside the field of complex numbers. An -de Rham-Betti class on a smooth projective variety over is a cla…