Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Vologodsky, Vadim"'
We consider the KZ connection associated with a family of hyperelliptic curves of genus $g$ over the ring of $p$-adic integers $\mathbb{Z}_p$. Then the dual connection is the Gauss-Manin connection of that family. We observe that the Gauss-Manin conn
Externí odkaz:
http://arxiv.org/abs/2406.19318
The KZ equations are differential equations satisfied by the correlation functions (on the Riemann sphere) of two-dimensional conformal field theories associated with an affine Lie algebra at a fixed level. They form a system of complex partial diffe
Externí odkaz:
http://arxiv.org/abs/2405.05159
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 of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by
Externí odkaz:
http://arxiv.org/abs/2402.17755
Let $X$ be a smooth symplectic variety over a field $k$ of characteristic $p>2$ equipped with a restricted structure, which is a class $[\eta] \in H^0(X, \Omega^1_X/d\mathcal O_X)$ whose de Rham differential equals the symplectic form. In this paper
Externí odkaz:
http://arxiv.org/abs/2211.17261
We prove that after inverting the Planck constant $h$ the Bezrukavnikov-Kaledin quantization $(X, \mathcal{O}_h)$ of symplectic variety $X$ in characteristic $p$ is Morita equivalent to a certain central reduction of the algebra of differential opera
Externí odkaz:
http://arxiv.org/abs/2011.08259
Autor:
Shramov, Constantin, Vologodsky, Vadim
We show the boundedness of finite subgroups in any anisotropic reductive algebraic group over a perfect field that contains all roots of 1. Also, we provide explicit bounds for orders of finite subgroups of automorphism groups of Severi-Brauer variet
Externí odkaz:
http://arxiv.org/abs/2009.14485
Autor:
Petrov, Alexander, Vologodsky, Vadim
We prove that the $p$-adically completed periodic topological cyclic homology of a DG category over a perfect field $k$ of characteristic $p>2$ is isomorphic to the ($p$-adically completed) periodic cyclic homology of a lifting of the DG category ove
Externí odkaz:
http://arxiv.org/abs/1912.03246
Autor:
Shramov, Constantin, Vologodsky, Vadim
For a geometrically rational surface X over an arbitrary field of characteristic different from 2 and 3 that contains all roots of 1, we show that either X is birational to a product of a projective line and a conic, or the group of birational automo
Externí odkaz:
http://arxiv.org/abs/1807.06477
It is expected that the periodic cyclic homology of a DG algebra over the field of complex numbers (and, more generally, the periodic cyclic homology of a DG category) carries a lot of additional structure similar to the mixed Hodge structure on the
Externí odkaz:
http://arxiv.org/abs/1711.02802
We say that a formal power series $\sum a_n z^n$ with rational coefficients is a 2-function if the numerator of the fraction $a_{n/p}-p^2 a_n$ is divisible by $p^2$ for every prime number $p$. One can prove that 2-functions with rational coefficients
Externí odkaz:
http://arxiv.org/abs/1702.07135