Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Elizondo, E. Javier"'
Autor:
Lima-Filho, Paulo, Elizondo, E. Javier
Let $G$ be a Chevalley group over a field $\Bbbk$. Fix a maximal torus $\mathbb{T}$ in $ G $, along with opposite Borel subgroups $ B $ and $ B^-$ satisfying $ \mathbb{T} = B \cap B^-$, and denote by $ \mathbb{U} := R_u(B) $ and $ \mathbb{L} := R_u(B
Externí odkaz:
http://arxiv.org/abs/2405.02701
For the symplectic Grassmannian $\text{SpG}(2,2n)$ of $2$-dimensional isotropic subspaces in a $2n$-dimensional vector space over an algebraically closed field of characteristic zero endowed with a symplectic form and with the natural action of an $n
Externí odkaz:
http://arxiv.org/abs/2307.00203
Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class
Let $\mathbb{G}(d,n)$ be the complex Grassmannian of affine $d$-planes in $n$-space. We study the problem of characterizing the set of algebraic subvarieties of $\mathbb{G}(d,n)$ invariant under the action of the maximal torus $T$ and having given ho
Externí odkaz:
http://arxiv.org/abs/2112.15334
Publikováno v:
In Journal of Algebra 15 February 2024 640:300-325
Autor:
Elizondo, E. Javier, Escobar, Eladio
We prove that the Euler-Chow series for ruled surfaces and scrolls is rational by means of an explicit computation.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1911.09028
Autor:
Chen, Xi, Elizondo, E. javier
We study the relations between the finite generation of Cox ring, the rationality of Euler-Chow series and Poincar\'e series and Zariski's conjecture on dimensions of linear systems. We prove that if the Cox ring of a smooth projective variety is fin
Externí odkaz:
http://arxiv.org/abs/1906.08694
In this paper we work with a series whose coefficients are the Euler characteristic of Chow varieties of a given projective variety. For varieties where the Cox ring is defined, it is easy to see that in this case the ring associated to the series is
Externí odkaz:
http://arxiv.org/abs/1302.3926
We study toric varieties over a field k that split in a Galois extension K/k using Galois cohomology with coefficients in the toric automorphism group. Part of this Galois cohomology fits into an exact sequence induced by the presentation of the clas
Externí odkaz:
http://arxiv.org/abs/1003.5141
Autor:
Elizondo, E. Javier, Kimura, Shun-ichi
Consider the formal power series $\sum [C_{p, \alpha}(X)]t^{\alpha}$ (called Motivic Chow Series), where $C_p(X)=\disjoint C_{p, \alpha}(X)$ is the Chow variety of $X$ parametrizing the $p$-dimensional effective cycles on $X$ with $C_{p, \alpha}(X)$
Externí odkaz:
http://arxiv.org/abs/0909.5232
Autor:
Elizondo, E. Javier, Kimura, Shun-Ichi
The Euler characteristic of all the Chow varieties, of a fixed projective variety, can be collected in a formal power series called the Euler-Chow series. This series coincides with the Hilbert series when the Picard group is a finite generated free
Externí odkaz:
http://arxiv.org/abs/0706.0931