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Displaying 21 – 40 of 634

A footnote to a paper by Noma

Antonio Lanteri, Francesco Russo (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $E$ be a globally generated ample vector bundle of rank $\geq 2$ on a complex projective smooth surface $X$ . By extending a recent result by A. Noma, we classify pairs $(X, E)$ as above satisfying $c_{2} (E) = 2$ .

A Foruier-Mukai transform for stable bundles on K3 surfaces.

C. Bartocci, U. Bruzzo (1997)

Journal für die reine und angewandte Mathematik

A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties

William Fulton (1977)

Compositio Mathematica

A home-made Hartshorne-Serre correspondence.

Enrique Arrondo (2007)

Revista Matemática Complutense

A Noether-Lefschetz theorem for vector bundles.

Jeroen G. Spandaw (1996)

Manuscripta mathematica

A note on certain Tannakian group schemes

Sanjay Amrutiya (2020)

Archivum Mathematicum

In this note, we prove that the $F$ -fundamental group scheme is a birational invariant for smooth projective varieties. We prove that the $F$ -fundamental group scheme is naturally a quotient of the Nori fundamental group scheme. For elliptic curves, it turns out that the $F$ -fundamental group scheme and the Nori fundamental group scheme coincide. We also consider an extension of the Nori fundamental group scheme in positive characteristic using semi-essentially finite vector bundles, and prove that in...

A Note on compact Kähler manifolds with Nef Tangent Bundles.

Qi Zhang (1994)

Manuscripta mathematica

A priori bounds of Castelnuovo type for cohomological Hilbert functions.

M. Brodmann (1990)

Commentarii mathematici Helvetici

A propos de l' espace des modules de fibrés de rang 2 sur une courbe.

Yves Laszlo (1994)

Mathematische Annalen

À propos de la construction de l'espace de modules des faisceaux semi-stables sur le plan projectif

Joseph Le Potier (1994)

Bulletin de la Société Mathématique de France

À propos de l'existence de fibrés stables sur les surfaces.

André Hirschowitz, Yves Laszlo (1995)

Journal für die reine und angewandte Mathematik

A remark on the Chern class of a tensor product.

Paolo Aluffi, Carel Faber (1995)

Manuscripta mathematica

A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory.

Bloch, Spencer, Esnault, Hélène (2000)

Annals of Mathematics. Second Series

A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.

Rosa M. Miró-Roig (1986)

Manuscripta mathematica

A splitting criterion for rank 2 vector bundles on hypersurfaces in $ℙ^{4}$ .

Madonna, C. (1998)

Rendiconti del Seminario Matematico

A theorem on the adjoint system for vector bundles.

Qi Zhang (1991)

Manuscripta mathematica

A Vanishing Theorem for Group Compactifications.

Elisabetta Strickland (1987)

Mathematische Annalen

About $G$ -bundles over elliptic curves

Yves Laszlo (1998)

Annales de l'institut Fourier

Let $G$ be a complex algebraic group, simple and simply connected, $T$ a maximal torus and $W$ the Weyl group. One shows that the coarse moduli space $M_{G} (X)$ parametrizing $S$ -equivalence classes of semistable $G$ -bundles over an elliptic curve $X$ is isomorphic to $[Γ (T) \otimes_{Z} X] / W$ . By a result of Looijenga, this shows that $M_{G} (X)$ is a weighted projective space.

About restricting 2-bundles on IP3 to planes.

Iustin Coanda (1991)

Mathematische Annalen

ACM bundles on general hypersurfaces in P5 of low degree.

Luca Chiantini, Carlo K. Madonna (2005)

Collectanea Mathematica

In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].

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