Zobrazeno 1 - 10
of 954
pro vyhledávání: '"Kuznetsov, Alexander A."'
Autor:
Debarre, Olivier, Kuznetsov, Alexander
We study Hilbert schemes of quadrics of dimension $k \in \{0,1,2,3\}$ on smooth Gushel-Mukai varieties $X$ of dimension $n \in \{2,3,4,5,6\}$ by relating them to the relative Hilbert schemes of linear subspaces of dimension $k + 1$ of a certain famil
Externí odkaz:
http://arxiv.org/abs/2409.03528
We give a proof of Mukai's Theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai's biregular classification of p
Externí odkaz:
http://arxiv.org/abs/2402.07154
Autor:
Kuznetsov, Alexander, Prokhorov, Yuri
We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher
Externí odkaz:
http://arxiv.org/abs/2312.13782
Autor:
Kuznetsov, Alexander, Shinder, Evgeny
Using the technique of categorical absorption of singularities we prove that the nontrivial components of the derived categories of del Pezzo threefolds of degree $d \in \{2,3,4,5\}$ and crepant categorical resolutions of the nontrivial components of
Externí odkaz:
http://arxiv.org/abs/2305.17213
Autor:
Kuznetsov, Alexander
We give two simple geometric constructions of a smooth family of projective varieties with central fiber isomorphic to the horospherical variety of type $\mathrm{G}_2$ and all other fibers isomorphic to the isotropic orthogonal Grassmannian $\mathrm{
Externí odkaz:
http://arxiv.org/abs/2302.09506
Autor:
Kuznetsov, Alexander, Shinder, Evgeny
In this paper we investigate homologically finite-dimensional objects in the derived category of a given small dg-enhanced triangulated category. Using these we define reflexivity, hfd-closedness, and the Gorenstein property for triangulated categori
Externí odkaz:
http://arxiv.org/abs/2211.09418
We study the properties of a system biorthogonal to a complete and minimal system of exponentials in $L^2(E)$, where $E$ is a finite union of intervals, and show that in the case when $E$ is a union of two or three intervals the biorthogonal system i
Externí odkaz:
http://arxiv.org/abs/2207.13336
Autor:
Kuznetsov, Alexander, Shinder, Evgeny
Publikováno v:
Ãpijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (January 9, 2024) epiga:10836
We introduce the notion of categorical absorption of singularities: an operation that removes from the derived category of a singular variety a small admissible subcategory responsible for singularity and leaves a smooth and proper category. We const
Externí odkaz:
http://arxiv.org/abs/2207.06477
Autor:
Kuznetsov, Alexander, Prokhorov, Yuri
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dimension of non-conical del Pezzo varieties is bounded by $12 - d - r$,
Externí odkaz:
http://arxiv.org/abs/2206.01549
Autor:
Kuznetsov, Alexander, Andrianova, Mariia, Ryazantsev, Dmitriy, Sheshil, Andrey, Grudtsov, Vitaliy, Vechorko, Valerii, Komarova, Natalia
Publikováno v:
In Sensors International 2025 6
