Vadim Vologodsky

activity

20062026

most citedA DG guide to Voevodsky's motives

4 citations · 4 across the 6 of their papers we have counts for

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math.NT2024

On $p$ -adic solutions to KZ equations, ordinary crystals, and $p^{s}$ -hypergeometric solutions

Alexander Varchenko, Vadim Vologodsky

We consider the KZ connection associated with a family of hyperelliptic curves of genus $g$ over the ring of $p$ -adic integers $Z_{p}$ . Then the dual connection is the Gauss…

math.NT2024

Prismatic $F$ -Gauges and Fontaine--Laffaille modules

Gleb Terentiuk, Vadim Vologodsky, Yujie Xu

Let $k$ be a perfect field of characteristic $p$ and $W (k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category…

On p-adic solutions to KZ equations, ordinary crystals, and ps-hypergeometric solutions

Prismatic F-Gauges and Fontaine--Laffaille modules

On $p$ -adic solutions to KZ equations, ordinary crystals, and $p^{s}$ -hypergeometric solutions

Prismatic $F$ -Gauges and Fontaine--Laffaille modules