From the 1 of 7 linked papers with an AI index.
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Fundamental group schemes of globally F-regular varieties
Charles Vial
The paper shows that any tower of connected quasi‑torsor covers of a connected normal globally F‑regular projective variety over an algebraically closed field of positive character…
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…
Decomposition of the diagonal, intermediate Jacobians, and universal codimension-2 cycles in positive characteristic
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
We consider the connections among algebraic cycles, abelian varieties, and stable rationality of smooth projective varieties in positive characteristic. Recently Voisin constructed…
On proper splinters in positive characteristic
Johannes Krah, Charles Vial
While the splinter property is a local property for Noetherian schemes in characteristic zero, Bhatt observed that it imposes strong conditions on the global geometry of proper sch…
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…
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…