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pro vyhledávání: '"rank two vector bundles"'
Autor:
Marchesi, Simone, Vallès, Jean
In this paper we characterize the rank two vector bundles on $\mathbb{P}^2$ which are invariant under the actions of the parabolic subgroups $G_p:=\mathrm{Stab}_p(\mathrm{PGL}(3))$ fixing a point in the projective plane, $G_L:=\mathrm{Stab}_L(\mathrm
Externí odkaz:
http://arxiv.org/abs/2010.06506
Publikováno v:
Advances in Geometry-2021
We extend the concept of Segre's Invariant to vector bundles on a surface $X$. For $X=\mathbb{P}^2$ we determine what numbers can appear as the Segre Invariant of a rank $2$ vector bundle with given Chern's classes. The irreducibility of strata with
Externí odkaz:
http://arxiv.org/abs/2003.02727
Autor:
Ellia, Philippe
We show that a normalized rank two vector bundle, E, on P2 splits if and only if h1(E(-1)) = 0. Using this fact we give another proof of a theorem of Chiantini and Valabrega. Finally we describe the normalized bundles with h1(E(-1)) <= 4.
Externí odkaz:
http://arxiv.org/abs/1901.00807
Akademický článek
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In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general $\nu$-gonal curve. We classify its reduced components whose dimensions are at least the correspondin
Externí odkaz:
http://arxiv.org/abs/1702.00918
Publikováno v:
Trans. Amer. Math. Soc. 370 (2018), 3913-3929
We continue previous works by various authors and study the birational geometry of moduli spaces of stable rank-two vector bundles on surfaces with Kodaira dimension $-\infty$. To this end, we express vector bundles as natural extensions, by using tw
Externí odkaz:
http://arxiv.org/abs/1609.03181
Autor:
Arbarello, Enrico, Bruno, Andrea
A genus-g du Val curve is a degree-3g plane curve having 8 points of multiplicity g, one point of multiplicity g-1, and no other singularity. We prove that the corank of the Gauss-Wahl map of a general du Val curve of odd genus (>11) is equal to one.
Externí odkaz:
http://arxiv.org/abs/1609.09256
Autor:
Ellia, Philippe, Gruson, Laurent
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.
Comment: Submitted to the proceedings of the Pau-Trieste conferences Vector bundles days
Comment: Submitted to the proceedings of the Pau-Trieste conferences Vector bundles days
Externí odkaz:
http://arxiv.org/abs/1503.02562
Autor:
Bǎdescu, Lucian
Publikováno v:
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2015 Jan 01. 58(3), 231-243.
Externí odkaz:
http://www.jstor.org/stable/43678820
