Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Buchstaber, Victor M."'
We relate the theory of moduli spaces $\overline{\mathcal{M}}_{0,\mathcal{A}}$ of stable weighted curves of genus $0$ to the equivariant topology of complex Grassmann manifolds $G_{n,2}$, with the canonical action of the compact torus $T^n$. We prove
Externí odkaz:
http://arxiv.org/abs/2410.01059
Publikováno v:
Proceedings of the Steklov Institute of Mathematics, 2024, Vol. 325, 74-85
In 1956 Hirzebruch found an explicit formula for the denominators of the Todd polynomials, which was proved later in his joint work with Atiyah. We present a new formula for the Todd polynomials in terms of the ``forgotten symmetric functions", which
Externí odkaz:
http://arxiv.org/abs/2310.07383
Publikováno v:
Uspekhi Mat. Nauk 77:4(466) (2022), 91-172 (in Russian); English transl. in: Russian Math. Surveys, 77:4 (2022), 651-727
A complete classification of finitely generated involutive commutative two-valued groups is obtained. Three series of such two-valued groups are constructed: principal, unipotent and special, and it is shown that any finitely generated involutive com
Externí odkaz:
http://arxiv.org/abs/2302.05909
Autor:
Ayano, Takanori, Buchstaber, Victor M.
Publikováno v:
SIGMA 18 (2022), 010, 30 pages
The article is devoted to the classical problems about the relationships between elliptic functions and hyperelliptic functions of genus 2. It contains new results, as well as a derivation from them of well-known results on these issues. Our research
Externí odkaz:
http://arxiv.org/abs/2106.06764
The focus of our paper is on the complex Grassmann manifolds $G_{n,2}$ which appear as one of the fundamental objects in developing the interaction between algebraic geometry and algebraic topology. In his well-known paper Kapranov has proved that th
Externí odkaz:
http://arxiv.org/abs/2104.08858
The problem of the description of the orbit space $X_{n} = G_{n,2}/T^n$ for the standard action of the torus $T^n$ on a complex Grassmann manifold $G_{n,2}$ is widely known and it appears in diversity of mathematical questions. A point $x\in X_{n}$ i
Externí odkaz:
http://arxiv.org/abs/2009.01580
Autor:
Ayano, Takanori, Buchstaber, Victor M.
Publikováno v:
Chebyshevskii sbornik, Vol. 21, No. 1, pp. 10-50, (2020)
This survey is devoted to the classical and modern problems related to the entire function ${\sigma({\bf u};\lambda)}$, defined by a family of nonsingular algebraic curves of genus $2$, where ${\bf u} = (u_1,u_3)$ and $\lambda = (\lambda_4, \lambda_6
Externí odkaz:
http://arxiv.org/abs/2003.08565
Publikováno v:
Mat.Sbornik, Vol. 210, no.4, (2019), 41-86, (in Russian)
In the focus of our paper is a system of axioms that serves as a basis for introducing structural data for $(2n,k)$-manifolds $M^{2n}$, where $M^{2n}$ is a smooth, compact $2n$-dimensional manifold with a smooth effective action of the $k$-dimensiona
Externí odkaz:
http://arxiv.org/abs/1803.05766