Zobrazeno 1 - 10
of 1 041
pro vyhledávání: '"KUZNETSOV, ALEXANDER"'
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 23, Iss 1, Pp 4-13 (2023)
Background and Objectives: The Josephson effect is widely used for both generating and receiving very high frequency signals. The approaches and methods of nonlinear dynamics are commonly used: construction of phase portraits, bifurcation analysis, K
Externí odkaz:
https://doaj.org/article/07225c6763074e619fa99061b108c495
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 22, Iss 4, Pp 328-337 (2022)
Background and Objectives: Quasi-periodic oscillations are widespread in nature and technology. In the phase space, quasi-periodic oscillations with a different number of incommensurable frequencies correspond to invariant tori of different dimension
Externí odkaz:
https://doaj.org/article/1fc9465f6b524640bb2481211ab2f88d
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 21, Iss 1, Pp 29-35 (2021)
Background and Objectives: The basic model of study is the simplest three - dimensional map with two-frequency and three-frequency quasiperiodicity at adding of noise. The main objective is to examine the effect of noise on the quasiperiodic Hopf bif
Externí odkaz:
https://doaj.org/article/10c4e3e4b841472cb5e20c7934041a9c
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
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 20, Iss 3, Pp 222-232 (2020)
Background and Objectives: Chaotic behavior is one of the fundamental properties of nonlinear dynamical systems, including maps. Chaos can be most easily and reliably diagnosed using the largest Lyapunov exponent, which will be positive for the chaot
Externí odkaz:
https://doaj.org/article/da8092809c354e1bb74275cf048d9796
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