Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Efimov, Alexander I."'
Autor:
Efimov, Alexander I.
In this paper we study the field of Hahn-Witt series $HW(\overline{\mathbb{F}}_p)$ with residue field $\overline{\mathbb{F}}_p$ (also known as a $p$-adic Malcev-Neumann field \cite{La86, P93}), and its generalizations. Informally, the Hahn-Witt serie
Externí odkaz:
http://arxiv.org/abs/2406.19163
Autor:
Efimov, Alexander I.
In this paper we introduce and study the so-called continuous $K$-theory for a certain class of "large" stable $\infty$-categories, more precisely, for dualizable presentable categories. For compactly generated categories, the continuous $K$-theory i
Externí odkaz:
http://arxiv.org/abs/2405.12169
Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau-Ginzburg models; however the critical locus of the superpotential is arguably of greater intrinsic relevance to mirror symmetry than the whole Landau-Ginzbur
Externí odkaz:
http://arxiv.org/abs/2107.01981
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Efimov, Alexander I.
We disprove two (unpublished) conjectures of Kontsevich which state generalized versions of categorical Hodge-to-de Rham degeneration for smooth and for proper DG categories (but not smooth and proper, in which case degeneration is proved by Kaledin
Externí odkaz:
http://arxiv.org/abs/1805.09283
Autor:
Efimov, Alexander I.
In this paper we introduce and study the formal punctured neighborhood of infinity, both in the algebro-geometric and in the DG categorical frameworks. For a smooth algebraic variety $X$ over a field of characteristic zero, one can take its smooth co
Externí odkaz:
http://arxiv.org/abs/1711.00756
Autor:
Efimov, Alexander I.
In this short note we study the questions of (non-)L-equivalence of algebraic varieties, in particular, for abelian varieties and K3 surfaces. We disprove the original version of a conjecture of Huybrechts \cite[Conjecture 0.3]{H} stating that isogen
Externí odkaz:
http://arxiv.org/abs/1707.08997
Autor:
Efimov, Alexander I.
In this paper we propose a generalization of the Kontsevich--Soibelman conjecture on the degeneration of Hochschild-to-cyclic spectral sequence for smooth and compact DG category. Our conjecture states identical vanishing of a certain map between bi-
Externí odkaz:
http://arxiv.org/abs/1506.00311
Autor:
Efimov, Alexander I.
In this paper we investigate the connection between the Mac Lane (co)homology and Wieferich primes in finite localizations of global number rings. Following the ideas of Polishchuk-Positselski \cite{PP}, we define the Mac Lane (co)homology of the sec
Externí odkaz:
http://arxiv.org/abs/1506.00257
Autor:
Efimov, Alexander I.
In this paper we study the derived categories of coherent sheaves on Grassmannians $\operatorname{Gr}(k,n),$ defined over the ring of integers. We prove that the category $D^b(\operatorname{Gr}(k,n))$ has a semi-orthogonal decomposition, with compone
Externí odkaz:
http://arxiv.org/abs/1410.7462