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pro vyhledávání: '"Popov , Vladimir"'
Autor:
Popov, Vladimir L.
Let $X$ be the variety of flexes of plane cubics. We prove that (1) $X$ is an irreducible rational algebraic variety endowed with an algebraic action of ${\rm PSL}_3$; (2) $X$ is ${\rm PSL}_3$-equivariantly birationally isomorphic to a homogeneous fi
Externí odkaz:
http://arxiv.org/abs/2408.16488
Autor:
Popov, Vladimir L.
Publikováno v:
Communications in Mathematics, Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik) (August 22, 2023) cm:11249
Here are reproduced slightly edited notes of my lectures on the classification of discrete groups generated by complex reflections of Hermitian affine spaces delivered in October of 1980 at the University of Utrecht.
Comment: Final version. 73 p
Comment: Final version. 73 p
Externí odkaz:
http://arxiv.org/abs/2304.08941
Autor:
Popov, Vladimir L.
We prove that the Picard group of a connected affine algebraic group $G$ is isomorphic to the fundamental group of the derived subgroup of the reductive algebraic group $G/{\mathscr R}_u(G)$, where ${\mathscr R}_u(G)$ is the unipotent radical of $G$.
Externí odkaz:
http://arxiv.org/abs/2302.13374
Autor:
Popov, Vladimir L.
Publikováno v:
Russian Mathematical Surveys, 74:3 (2019), 543--545
We prove that for every positive integer $d$, there are no nonzero regular differential $d$-forms on every smooth irreducible projective algebraic variety birationally isomorphic to the variety of flexes of plane cubics.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/2302.13364
Autor:
Popov, Vladimir L.
Publikováno v:
Proceedings of the Steklov Institute of Mathematics, 2023, Vol. 320, pp. 267--277
A new infinite series of rational affine algebraic varieties is constructed whose automorphism group contains the automorphism group ${\rm Aut}(F_n)$ of the free group $F_n$ of rank $n$. The automorphism groups of such varieties are nonlinear and con
Externí odkaz:
http://arxiv.org/abs/2207.13072
Autor:
Popov, Vladimir L.
Considering a certain construction of algebraic varieties $X$ endowed with an algebraic action of the group ${\rm Aut}(F_n)$, $n<\infty$, we obtain a criterion for the faithfulness of this action. It gives an infinite family $\mathscr F$ of $X$'s suc
Externí odkaz:
http://arxiv.org/abs/2207.08912
Autor:
Popov, Vladimir L.
We prove that every orbit of the adjoint representation of any connected reductive algebraic group $G$ is a rational algebraic variety. For complex simply connected semisimple $G$, this implies rationality of affine Hamiltonian $G$-varieties (which w
Externí odkaz:
http://arxiv.org/abs/2206.14040
Autor:
Edalati, Kaveh, Ahmed, Anwar Q., Akrami, Saeid, Ameyama, Kei, Aptukov, Valery, Asfandiyarov, Rashid N., Ashida, Maki, Astanin, Vasily, Bachmaier, Andrea, Beloshenko, Victor, Bobruk, Elena V., Bryła, Krzysztof, Cabrera, José María, Carvalho, Amanda P., Chinh, Nguyen Q., Choi, In-Chul, Chulist, Robert, Cubero-Sesin, Jorge M., Davdian, Gregory, Demirtas, Muhammet, Divinski, Sergiy, Durst, Karsten, Dvorak, Jiri, Edalati, Parisa, Emura, Satoshi, Enikeev, Nariman A., Faraji, Ghader, Figueiredo, Roberto B., Floriano, Ricardo, Fouladvind, Marjan, Fruchart, Daniel, Fuji, Masayoshi, Fujiwara, Hiroshi, Gajdics, Marcell, Gheorghe, Diana, Gondek, Łukasz, González-Hernández, Joaquín E., Gornakova, Alena, Grosdidier, Thierry, Gubicza, Jenő, Gunderov, Dmitry, He, Liqing, Higuera, Oscar Fabian, Hirosawa, Shoichi, Hohenwarter, Anton, Horita, Zenji, Horky, Jelena, Huang, Yi, Huot, Jacques, Ikoma, Yoshifumi, Ishihara, Tatsumi, Ivanisenko, Yulia, Jang, Jae-il, Jorge, Alberto M., Jr, Kawabata-Ota, Mie, Kawasaki, Megumi, Khelfa, Tarek, Kobayashi, Junya, Kommel, Lembit, Korneva, Anna, Kral, Petr, Kudriashova, Natalia, Kuramoto, Shigeru, Langdon, Terence G., Lee, Dong-Hyun, Levitas, Valery I., Li, Cong, Li, Hai-Wen, Li, Yongtao, Li, Zheng, Lin, Huai-Jun, Liss, Klaus-Dieter, Liu, Ying, Cardona, Diana Maritza Marulanda, Matsuda, Kenji, Mazilkin, Andrey, Mine, Yoji, Miyamoto, Hiroyuki, Moon, Suk-Chun, Müller, Timo, Muñoz, Jairo Alberto, Murashkin, Maxim Yu., Naeem, Muhammad, Novelli, Marc, Olasz, Dániel, Pippan, Reinhard, Popov, Vladimir V., Popova, Elena N., Purcek, Gencaga, de Rango, Patricia, Renk, Oliver, Retraint, Delphine, Révész, Ádám, Roche, Virginie, Rodriguez-Calvillo, Pablo, Romero-Resendiz, Liliana, Sauvage, Xavier, Sawaguchi, Takahiro, Sena, Hadi, Shahmir, Hamed, Shi, Xiaobin, Sklenicka, Vaclav, Skrotzki, Werner, Skryabina, Nataliya, Staab, Franziska, Straumal, Boris, Sun, Zhidan, Szczerba, Maciej, Takizawa, Yoichi, Tang, Yongpeng, Valiev, Ruslan Z., Vozniak, Alina, Voznyak, Andrei, Wang, Bo, Wang, Jing Tao, Wilde, Gerhard, Zhang, Fan, Zhang, Meng, Zhang, Peng, Zhou, Jianqiang, Zhu, Xinkun, Zhu, Yuntian T.
Publikováno v:
In Journal of Alloys and Compounds 15 October 2024 1002
Autor:
Mai, Roni, Osidak, Egor, Mishina, Ekaterina, Domogatsky, Sergey, Andreev, Andrey, Dergam, Youssef, Popov, Vladimir
Publikováno v:
In World Neurosurgery October 2024 190:e1061-e1070