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Displaying 121 – 140 of 159

Résultats sur la conjecture de dualité étrange sur le plan projectif

Gentiana Danila (2002)

Bulletin de la Société Mathématique de France

La conjecture de « dualité étrange » de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif $ℙ_{2}$ . On considère deux classes orthogonales $c, u$ dans l’algèbre de Grothendieck $K (ℙ_{2})$ telles que $c$ est de rang strictement positif et $u$ est de rang zéro, et on note $M_{c}$ et $M_{u}$ les espaces de modules de faisceaux semi-stables de classe $c$ , respectivement $u$ sur $ℙ_{2}$ . Il existe sur $M_{c}$ (resp. $M_{u}$ ) un fibré déterminant...

Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities.

Jonathan Wahl (1993)

Mathematische Annalen

Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif

Gentiana Danila (2000)

Annales de l'institut Fourier

La conjecture de “dualité étrange” de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif $ℙ_{2}$ . Si on considère deux classes orthogonales $c, u$ dans l’algèbre de Grothendieck $K (ℙ_{2})$ telles que $c$ est de rang strictement positif et $u$ est de rang zéro, on note $M_{c}$ et $M_{u}$ les espaces de modules de faisceaux semi-stables de classe $c$ , respectivement $u$ , sur $ℙ_{2}$ . Il existe sur $M_{c}$ (resp. $M_{u}$ ) un fibré déterminant...

Semistability of certain bundles on a quintic Calabi-Yau threefold.

Maria Chiara Brambilla (2009)

Revista Matemática Complutense

Simple sheaves versus stable sheaves on algebraic surfaces.

Zhenbo Qin (1992)

Mathematische Zeitschrift

Singularity of the moduli space of stable bundles on surfaces

Tohru Nakashima (1996)

Compositio Mathematica

Smooth Enriques surfaces in P4 and exceptional bundles.

Sonia Brivio (1993)

Mathematische Zeitschrift

Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.

Stefan Bauer (1992)

Journal für die reine und angewandte Mathematik

Some polynomials on the blow-up of [...]

Kai-Cheong Mong (1991)

Journal für die reine und angewandte Mathematik

Some properties of stable rank 2 bundles on algebraic surfaces.

Edoardo Ballico, Luca Chiantini (1992)

Forum mathematicum

Special rank two vector bundles over Enriques surfaces.

Daniel Naie (1994)

Mathematische Annalen

Stability of tautological vector bundles on Hilbert squares of surfaces

Ulrich Schlickewei (2010)

Rendiconti del Seminario Matematico della Università di Padova

Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.

Carla Dionisi (2004)

Revista Matemática Complutense

In this paper nondegenerate multidimensional matrices of boundary format in V0 ⊗ ... ⊗ Vp are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix A the stabilizer for the SL(V0) x ... x SL(Vp)-action, Stab(A), is completely described. In particular we prove that there exists an explicit action of SL(2) on V0 ⊗ ... ⊗ Vp such that Stab(A)0 ⊆ SL(2) and the equality holds if and only if A belongs to a unique SL(V0) x ... x SL(Vp)-orbit...

Stable bundles with torsion chern classes on non-Kählerian elliptic surfaces.

Rüdiger Plantiko (1995)

Manuscripta mathematica

String theory and duality.

Aspinwall, Paul S. (1998)

Documenta Mathematica

Symplectic structures on moduli spaces of framed sheaves on surfaces

Francesco Sala (2012)

Open Mathematics

We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.

Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.

Robert Lazarsfeld, Lawrence Ein (1993)

Inventiones mathematicae

Tensor product theorem for Hitchin pairs – An algebraic approach

V. Balaji, A.J. Parameswaran (2011)

Annales de l’institut Fourier

We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic $p$ , with $p$ satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.

The Abel-Jacobi map for cubic threefold and periods of Fano threefolds of degree 14.

Iliev, A., Markushevich, D. (2000)

Documenta Mathematica

The determinant line bundle over moduli spaces of instantons on abelian surfaces.

Antony Maciocia (1994)

Mathematische Zeitschrift

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