works on
fundamental group scheme 1globally f-regular varieties 1linear reductivity 1positive characteristic 1quasi-torsor covers 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.AG2026

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…

math.AG2026

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…

math.AG2025

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…

math.AG2025

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…