A. Varchenko

activity

19932023

most citedGeometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation

167 citations · 1.9k across the 134 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021★ 1 cited

Congruences for Hasse--Witt matrices and solutions of $p$ -adic KZ equations

Alexander Varchenko, Wadim Zudilin

We prove general Dwork-type congruences for Hasse--Witt matrices attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and $p$ -adic analytic pr…

math.NT2021★ 3 cited

Ghosts and congruences for $p^{s}$ -approximations of hypergeometric periods

Alexander Varchenko, Wadim Zudilin

We prove general Dwork-type congruences for constant terms attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and $p$ -adic analytic properti…

math.AG2021★ 3 cited

Notes on solutions of KZ equations modulo $p^{s}$ and $p$ -adic limit $s \to \infty$

Alexander Varchenko

We consider the KZ equations over $C$ in the case, when the hypergeometric solutions are hyperelliptic integrals of genus $g$ . Then the space of solutions is a $2 g$ -dimensi…

Congruences for Hasse--Witt matrices and solutions of p-adic KZ equations

Ghosts and congruences for ps-approximations of hypergeometric periods

Notes on solutions of KZ equations modulo ps and p-adic limit s→∞

Congruences for Hasse--Witt matrices and solutions of $p$ -adic KZ equations

Ghosts and congruences for $p^{s}$ -approximations of hypergeometric periods

Notes on solutions of KZ equations modulo $p^{s}$ and $p$ -adic limit $s \to \infty$