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

Toma, Matei

Displaying similar documents to “Compact moduli spaces of stable sheaves over non-algebraic surfaces.”

Symplectic structures on moduli spaces of framed sheaves on surfaces

Francesco Sala (2012)

Open Mathematics

Similarity:

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.

Moduli of framed sheaves on projective surfaces.

Bruzzo, Ugo, Markushevish, Dimitri (2011)

Documenta Mathematica

Similarity:

Singularity of the moduli space of stable bundles on surfaces

Tohru Nakashima (1996)

Compositio Mathematica

Similarity:

Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves

Francesco Bottacin (2009)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Algebraic complete integrability of an integrable system of Beauville

Jun-Muk Hwang, Yasunari Nagai (2008)

Annales de l’institut Fourier

Similarity:

We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.

K3 surfaces: moduli spaces and Hilbert schemes.

Laura Costa (1998)

Collectanea Mathematica

Similarity:

On the Brill-Noether theory for K3 surfaces

Maxim Leyenson (2012)

Open Mathematics

Similarity:

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...

Vector bundles on blown-up Hopf surfaces

Matei Toma (2012)

Open Mathematics

Similarity:

We show that certain moduli spaces of vector bundles over blown-up primary Hopf surfaces admit no compact components. These are the moduli spaces used by Andrei Teleman in his work on the classification of class VII surfaces.

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

Sonia Brivio (1998)

Bollettino dell'Unione Matematica Italiana

Similarity:

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 $C$ .