On the Brill-Noether theory for K3 surfaces

Maxim Leyenson

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Displaying similar documents to “On the Brill-Noether theory for K3 surfaces”

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.

Symplectic structures on moduli spaces of framed sheaves on surfaces

Francesco Sala (2012)

Open Mathematics

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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.

Compact moduli spaces of stable sheaves over non-algebraic surfaces.

Toma, Matei (2001)

Documenta Mathematica

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K3 surfaces: moduli spaces and Hilbert schemes.

Laura Costa (1998)

Collectanea Mathematica

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Singularity of the moduli space of stable bundles on surfaces

Tohru Nakashima (1996)

Compositio Mathematica

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On reflexive sheaves with low sectional genera on threefolds.

Ballico, Edoardo (1991)

Mathematica Pannonica

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Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one

Eckart Viehweg (1977)

Compositio Mathematica

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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 $C$ .

Moduli of framed sheaves on projective surfaces.

Bruzzo, Ugo, Markushevish, Dimitri (2011)

Documenta Mathematica

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