V. Golyshev

activity

20232026

collaborators

4 papers

math.NT2026

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves

Neil Dummigan, Vasily Golyshev, Rob de Jeu +1

For certain integers $u$ , we investigate the 2-part of the Bloch-Kato conjecture for $L (E_{u}, 2)$ , where $E_{u} : y^{2} = x (x + 1) (x + u^{2})$ is part of a (twisted) Legendre family that is 2-iso…

math.AG2025

Fibering out Calabi-Yau motives

Kilian Bönisch, Vasily Golyshev, Albrecht Klemm

We prove the modularity of mixed periods associated with singular fibers of specific families of Calabi-Yau threefolds. This is done by "fibering out", i.e. by expressing these per…

math.AG2024

The arithmetic of Calabi-Yau motives and mobile higher regulators

Vasily Golyshev, Matt Kerr

We construct elements in the motivic cohomology of certain rank 4 weight 3 Calabi--Yau motives, and write down explicit expressions for the regulators of these elements in the cont…

math.AG2023

On $L$ -derivatives and biextensions of Calabi-Yau motives

V. Golyshev

We prove that certain differential operators of the form $D L D$ with $L$ hypergeometric and $D = z \frac{d}{d z}$ are of Picard-Fuchs type. We give closed hypergeometric expressions fo…

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for K2​ of some elliptic curves

Fibering out Calabi-Yau motives

The arithmetic of Calabi-Yau motives and mobile higher regulators

On L-derivatives and biextensions of Calabi-Yau motives

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves

On $L$ -derivatives and biextensions of Calabi-Yau motives