Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Manivel, L."'
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e63
Given a smooth genus three curve $C$, the moduli space of rank two stable vector bundles on C with trivial determinant embeds in $\mathbb{P}^8$ as a hypersurface whose singular locus is the Kummer threefold of $C$; this hypersurface is the Coble quar
Externí odkaz:
http://arxiv.org/abs/2307.05993
Autor:
Landsberg, J. M., Manivel, L.
We use representation theory to construct spaces of matrices of constant rank. These spaces are parametrized by the natural representation of the general linear group or the symplectic group. We present variants of this idea, with more complicated re
Externí odkaz:
http://arxiv.org/abs/2212.04228
Autor:
Ferapontov, E, Manivel, L
It was shown in \cite{FPV} that the classification of $n$-component systems of conservation laws possessing a third-order Hamiltonian structure reduces to the following algebraic problem: classify $n$-planes $H$ in $\wedge^2(V_{n+2})$ such that the i
Externí odkaz:
http://arxiv.org/abs/1810.12216
Autor:
Golyshev, V., Manivel, L.
We prove that the geometric Satake correspondence admits quantum corrections for minuscule Grassmannians of Dynkin types $A$ and $D$. We find, as a corollary, that the quantum connection of a spinor variety $OG(n,2n)$ can be obtained as the half-spin
Externí odkaz:
http://arxiv.org/abs/1106.3120
We prove that the deformations of a smooth complex Fano threefold X with Picard number 1, index 1, and degree 10, are unobstructed. The differential of the period map has two-dimensional kernel. We construct two two-dimensional components of the fibe
Externí odkaz:
http://arxiv.org/abs/0812.3670
Publikováno v:
Communications in Contemporary Mathematics V. 12 (2010), N. 3, pp. 373--416
It is well known that the Fano scheme of lines on a cubic 4-fold is a symplectic variety. We generalize this fact by constructing a closed p-form with p=2n-4 on the Fano scheme of lines on a (2n-2)-dimensional hypersurface Y of degree n. We provide s
Externí odkaz:
http://arxiv.org/abs/0806.1154
Autor:
Landsberg, J. M., Manivel, L.
We define many new examples of modules of equations for secant varieties of Segre varieties that generalize Strassen's commutation equations. Our modules of equations are obtained by constructing subspaces of matrices from tensors that satisfy variou
Externí odkaz:
http://arxiv.org/abs/math/0601097
Autor:
Landsberg, J. M., Manivel, L.
We investigate the geometry of Legendrian complex projective manifolds $X\subset\PP V$. By definition, this means $V$ is a complex vector space of dimension $2n+2$, endowed with a symplectic form, and the affine tangent space to $X$ at each point is
Externí odkaz:
http://arxiv.org/abs/math/0407279
Autor:
Landsberg, J. M., Manivel, L.
We fill in the "hole" in the exceptional series of Lie algebras that was observed by Cvitanovic, Deligne, Cohen and deMan. More precisely, we show that the intermediate Lie algebra between $E_7$ and $E_8$ satisfies some of the decomposition and dimen
Externí odkaz:
http://arxiv.org/abs/math/0402157