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pro vyhledávání: '"Gorinov, A. G."'
Autor:
Gorinov, A. G.
B. Totaro showed \cite{totaro} that the rational cohomology of configuration spaces of smooth complex projective varieties is isomorphic as an algebra to the $E_2$ term of the Leray spectral sequence corresponding to the open embedding of the configu
Externí odkaz:
http://arxiv.org/abs/1702.08428
Autor:
Gorinov, A. G.
The fundamental theorem of affine geometry says that a self-bijection $f$ of a finite-dimensional affine space over a possibly skew field takes left affine subspaces to left affine subspaces of the same dimension, then $f$ of the expected type, namel
Externí odkaz:
http://arxiv.org/abs/1702.07701
A projective hypersurface is nodal if it does not have singularities worse than simple nodes. We calculate the rational cohomology of the spaces of equations of nodal cubic and quartic plane curves and also nodal cubic surfaces in the projective 3-sp
Externí odkaz:
http://arxiv.org/abs/1402.5946
Autor:
Gorinov, Alexey G.
We give a combinatorial description of the rational cohomology of the moduli spaces of pointed genus 1 curves with $n$ marked points and level $N$ structures. More precisely, we explicitly describe the $E_2$ term of the Leray spectral sequence of the
Externí odkaz:
http://arxiv.org/abs/1303.5693
Autor:
Gorinov, A. G.
In this note we extend some of the results of a previous paper \url{arXiv:math/0511593} to algebraically closed fields of finite characteristic. In particular, we show that there is an explicit expression in $n$ and $d$ which is divisible by the prim
Externí odkaz:
http://arxiv.org/abs/1303.5150
Autor:
Gorinov, Alexey G.
As noticed by R. Kulkarni, the conjugacy classes of subgroups of the modular group correspond bijectively to bipartite cuboid graphs. We'll explain how to recover the graph corresponding to a subgroup $G$ of $\mathrm{PSL}_2(\mathbb{Z})$ from the comb
Externí odkaz:
http://arxiv.org/abs/0901.1340
Autor:
Gorinov, A. G.
Publikováno v:
Topology Appl. 143 (2004), no. 1-3, 75--85
The boundary of a M\"obius manifold carries a canonical M\"obius structure. This enables one to define the cobordism group of $n$-dimensional (closed) M\"obius manifolds. The purpose of this note is to show that the cobordism group of M\"obius circle
Externí odkaz:
http://arxiv.org/abs/math/0605573
Autor:
Gorinov, Alexei G.
The main purpose of this paper is to show that the mixed Hodge polynomial of the ``space of equations'' for smooth complete intersections of given multidegree in $\mathbb{C} P^n$ is divisible by the mixed Hodge polynomial of the group $\mathrm{GL}_{n
Externí odkaz:
http://arxiv.org/abs/math/0511593
Given an integer k>0, our main result states that the sequence of orders of the groups SL_k(\Z_n) (respectively, of the groups GL_k(Z_n)) is Cesaro equivalent as n -> infinity to the sequence C_1(k) n^{k^2-1} (respectively, C_2(k)n^{k^2}), where the
Externí odkaz:
http://arxiv.org/abs/math/0307034
Autor:
Gorinov, Alexey G, Shadchin, Sergey V
Publikováno v:
In Comptes rendus - Mathématique 2003 337(3):149-152
