9 papers · 1 filter
Fundamental group schemes of globally F-regular varieties
Charles Vial
We prove that every tower of connected quasi-torsor covers of a connected normal globally -regular projective variety over an algebraically closed field of positive characterist…
The Beauville-Voisin-Franchetta conjecture and LLSS eightfolds
Robert Laterveer, Charles Vial
The Chow rings of hyper-Kähler varieties are conjectured to have a particularly rich structure. In this paper, we formulate a conjecture that combines the Beauville-Voisin conjectu…
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…
The Walker Abel-Jacobi map descends
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
For a complex projective manifold, Walker has defined a regular homomorphism lifting Griffiths' Abel-Jacobi map on algebraically trivial cycle classes to a complex abelian variety,…
On the image of the second l-adic Bloch map
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
For a smooth projective geometrically uniruled threefold defined over a perfect field we show that there exists a canonical abelian variety over the field, namely the second algebr…
Zero-cycles on double EPW sextics
Robert Laterveer, Charles Vial
The Chow rings of hyperKähler varieties are conjectured to have a particularly rich structure. In this paper, we focus on the locally complete family of double EPW sextics and esta…