V. Guletskiĭ

collaborators

4 papers

math.AG2026

The tangent space to the space of 0-cycles

Vladimir Guletskii

Let $S$ be a Noetherian scheme, and let $X$ be a scheme over $S$ . Under mild assumptions, one can construct the connected infinite symmetric power $Sym^{\infty} (X / S)$ , whose…

math.AG2026

Motivic obstruction to rationality of a general cubic hypersurface in $P^{5}$

Vladimir Guletskii

We introduce integrally essentially indecomposable motives and prove that, if the integral motive of a smooth projective surface over a field of sufficiently big transcendence degr…

math.AG2026

Arithmetic of Gysin kernels

Vladimir Guletskii, Bo Zhang

Let $k$ be a field, and let $X$ be a smooth projective surface over $k$ . Fix a Lefschetz pencil on $X$ , and let $C$ be its fibre at the generic point of $P^{1}$ . The closed i…

math.AG2025

The Bloch conjecture

Vladimir Guletskii

We prove the conjecture stated by Spencer Bloch in 1975 and saying that the Albanese kernel of a smooth projective surface is 0, provided its second cohomology group is algebraic.

The tangent space to the space of 0-cycles

Motivic obstruction to rationality of a general cubic hypersurface in P5

Arithmetic of Gysin kernels

The Bloch conjecture

Motivic obstruction to rationality of a general cubic hypersurface in $P^{5}$