Výsledky vyhledávání - "rank two vector bundles"

A restriction theorem for stable rank two vector bundles onP3

Publikováno v: Journal of Algebra. 438:85-89

Let E be a normalized, rank two vector bundle on P 3 . Let H be a general plane. If E is stable with c 2 ≥ 4 , we show that h 0 ( E H ( 1 ) ) ≤ 2 + c 1 . It follows that h 0 ( E ( 1 ) ) ≤ 2 + c 1 . We also show that if E is properly semi-stable

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa8ad4d7ca449170cb870fc2df61ce71
https://doi.org/10.1016/j.jalgebra.2015.05.009

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On the Buchsbaum index of rank two vector bundles on P3

Autor: Ellia, Philippe, Gruson, Laurent

Publikováno v: Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics, 2015, 47, pp.65--79. ⟨10.13137/0049-4704/11220⟩

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.
Submitted to the proceedings of the Pau-Trieste conferences Vector bundles days

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http://hdl.handle.net/11392/2416962

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Chern classes of rank two globally generated vector bundles on $\mathbb P^2$

Autor: Philippe Ellia

Publikováno v: Rendiconti Lincei - Matematica e Applicazioni. 24:147-163

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc3b0860a067f449969d5b266786c67a
https://doi.org/10.4171/rlm/649

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Non-vanishing Theorems for Rank Two Vector Bundles on Threefolds

Autor: Ballico, Edoardo, Valabrega, Paolo, Valenzano, Mario

The paper investigates the non-vanishing of $H^1(E(n))$, where $E$ is a (normalized) rank two vector bundle over any smooth irreducible threefold $X$ of degree $d$ such that $Pic(X) \cong \ZZ$. If $\epsilon$ is the integer defined by the equality $\o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::811ed7febf3620a11728a08de4387e3b
https://hdl.handle.net/10077/5715

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On Buchsbaum bundles on quadric hypersurfaces

Autor: Edoardo Ballico, Paolo Valabrega, Francesco Malaspina, Mario Valenzano

Publikováno v: Open Mathematics, Vol 10, Iss 4, Pp 1361-1379 (2012)

Let $E$ be an indecomposable rank two vector bundle on the projective space $\PP^n, n \ge 3$, over an algebraically closed field of characteristic zero. It is well known that $E$ is arithmetically Buchsbaum if and only if $n=3$ and $E$ is a null-corr

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Non-special scrolls with general moduli

Autor: Alberto Calabri, Ciro Ciliberto, Rick Miranda, Flaminio Flamini

In this paper we study smooth, non-special scrolls S of degree d, genus g, with general moduli. In particular, we study the scheme of unisecant curves of a given degree on S. Our approach is mostly based on degeneration techniques.
Comment: 24 p

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http://hdl.handle.net/11392/1401233

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Non-vanishing theorems for non-split rank 2 bundles on P^3: A simple approach

Autor: Valabrega, P., Valenzano, Mario

Publikováno v: AAPP | Physical, Mathematical, and Natural Sciences; Vol 87, No 1 (2009)
Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali; Vol 87, No 1 (2009)
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol LXXXVII, Iss 1, p C1A0901002 (2009)

The paper investigates vanishing conditions on the first cohomology module of a normalized rank 2 vector bundle on P3 which force to split, and finds therefore strategic levels of non-vanishing for a non-split bundle. The present conditions improve o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e7c29481edb805bfbefd83be0f419cd8
http://cab.unime.it/journals/index.php/AAPP/article/view/C1A0901002

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