25 citations · 49 across the 8 of their papers we have counts for
9 papers
Rational curves on and rational simple connectedness
Andrea Fanelli, Laurent Gruson, Nicolas Perrin
In this paper the notion of rational simple connectedness for the quintic Fano threefold is studied and unirationality of the moduli spaces $\overline{M}_…
Modernity of Halphen's variations on a theme of Monge
Caroline Gruson, Laurent Gruson
We construct a Z_3-slice to the natural action of PGL(V) on the variety of smooth arcs in the projective space P(V).
On the Buchsbaum index of rank two vector bundles on P3
Philippe Ellia, Laurent Gruson
We classify rank two vector bundles on P3 with Buchsbaum index equal to three and also give some results on the H1-module of "negative instanton"bundles.
A restriction theorem for stable rank two vector bundles on P3
Philippe Ellia, Laurent Gruson
Let E be a stable rank two normalized vector bundle on P3. If H is a general plane we show that h^0(E_H(1)) \leq 2+c_1. It follows that h^0(E(1)) \leq 2+c_1.
Alternating trilinear forms on a 9-dimensional space and degenerations of (3,3)-polarized Abelian surfaces
Laurent Gruson, Steven V Sam
We give a detailed analysis of the semisimple elements, in the sense of Vinberg, of the third exterior power of a 9-dimensional vector space over an algebraically closed field of c…
Moduli of Abelian varieties, Vinberg theta-groups, and free resolutions
Laurent Gruson, Steven V Sam, Jerzy Weyman
We present a systematic approach to studying the geometric aspects of Vinberg theta-representations. The main idea is to use the Borel-Weil construction for representations of redu…