Zobrazeno 1 - 10
of 3 862
pro vyhledávání: '"Manivel, A."'
We prove several results about integral versions of Fourier duality for abelian schemes, making use of Pappas's work on integral Grothendieck-Riemann-Roch. If $S$ is smooth quasi-projective of dimension $d$ over a field and $\pi \colon X\to S$ is a $
Externí odkaz:
http://arxiv.org/abs/2407.06184
Autor:
Bernardara, Marcello, Fatighenti, Enrico, Kapustka, Grzegorz, Kapustka, Michał, Manivel, Laurent, Mongardi, Giovanni, Tanturri, Fabio
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperK\"ahler varieties. As a result we describe families of nodal surfaces that can be seen as generalisations of Kum
Externí odkaz:
http://arxiv.org/abs/2402.08528
Given a smooth genus two curve $C$, the moduli space SU$_C(3)$ of rank three semi-stable vector bundles on $C$ with trivial determinant is a double cover in $\mathbb{P}^8$ branched over a sextic hypersurface, whose projective dual is the famous Coble
Externí odkaz:
http://arxiv.org/abs/2310.06482
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:
Biermann, Jennifer, Castellano, Beth Anne, Manivel, Marcella, Petrucelli, Eden, Van Tuyl, Adam
We introduce a family of graphs, which we call down-left graphs, and study their combinatorial and algebraic properties. We show that members of this family are well-covered, $C_5$-free, and vertex decomposable. By applying a result of H\`a-Woodroofe
Externí odkaz:
http://arxiv.org/abs/2304.14528
Autor:
Manivel, Laurent, Miro-Roig, Rosa
We consider the problem of constructing matrices of linear forms of constant rank by focusing on the associated vector bundles on projective spaces. Important examples are given by the classical Steiner bundles, as well as some special (duals of) syz
Externí odkaz:
http://arxiv.org/abs/2304.08055
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:
Manivel, Laurent
This note is devoted to a special Fano fourfold defined by a four-dimensional space of skew-symmetric forms in five variables. This fourfold appears to be closely related with the classical Segre cubic and its Cremona-Richmond configuration of planes
Externí odkaz:
http://arxiv.org/abs/2211.16154
Autor:
Beri, Pietro, Manivel, Laurent
Given a general K3 surface $S$ of degree $18$, lattice theoretic considerations allow to predict the existence of an anti-symplectic birational involution of the Hilbert cube $S^{[3]}$. We describe this involution in terms of the Mukai model of $S$,
Externí odkaz:
http://arxiv.org/abs/2211.12866
The projective variety of Lie algebra structures on a 4-dimensional vector space has four irreducible components of dimension 11. We compute their prime ideals in the polynomial ring in 24 variables. By listing their degrees and Hilbert polynomials,
Externí odkaz:
http://arxiv.org/abs/2208.14631