The role of the Ellingsrud-Strømme construction in the classification of instantons

Laurent Gruson; Frédéric Han

Displaying similar documents to “The role of the Ellingsrud-Strømme construction in the classification of instantons”

Instanton bundles on Fano threefolds

Alexander Kuznetsov (2012)

Open Mathematics

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We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

Theta characteristics of an algebraic curve

David Mumford (1971)

Annales scientifiques de l'École Normale Supérieure

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On cubics and quartics through a canonical curve

Christian Pauly (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We construct families of quartic and cubic hypersurfaces through a canonical curve, which are parametrized by an open subset in a grassmannian and a Flag variety respectively. Using G. Kempf’s cohomological obstruction theory, we show that these families cut out the canonical curve and that the quartics are birational (via a blowing-up of a linear subspace) to quadric bundles over the projective plane, whose Steinerian curve equals the canonical curve

A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4

Sukmoon Huh (2009)

Open Mathematics

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We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.

Deformations of theta divisors and the rank 4 quadrics problem

Roy Smith, Robert Varley (1990)

Compositio Mathematica

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

Madonna, C. (1998)

Rendiconti del Seminario Matematico

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On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$

Sonia Brivio (1998)

Bollettino dell'Unione Matematica Italiana

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Sia $C$ una curva irriducibile nodale di genere aritmetico $p_{a} = 2$ . In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango $2$ , su $C$ .

On the Brill-Noether theory for K3 surfaces

Maxim Leyenson (2012)

Open Mathematics

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Let (S, H) be a polarized K3 surface. We define Brill-Noether filtration on moduli spaces of vector bundles on S. Assume that (c 1(E), H) > 0 for a sheaf E in the moduli space. We give a formula for the expected dimension of the Brill-Noether subschemes. Following the classical theory for curves, we give a notion of Brill-Noether generic K3 surfaces. Studying correspondences between moduli spaces of coherent sheaves of different ranks on S, we prove our main theorem: polarized K3...