Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.

Montserrat Teixidor i Bigas

Displaying similar documents to “Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.”

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 $C$ .

On the geometry of moduli of curves and line bundles

Claudio Fontanari (2005)

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

Similarity:

Here we focus on the geometry of ${\bar{P}}_{d, g}$ , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into ${\bar{P}}_{d, g}$ and we give generators and relations of the rational Picard group of ${\bar{P}}_{d, g}$ , extending previous work by A. Kouvidakis.

On the rationality of the moduli schemes of vector bundles on curves

E. Ballico, B. Russo (1997)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

The Picard group of the moduli of higher spin curves.

Jarvis, Tyler J. (2001)

The New York Journal of Mathematics [electronic only]

Similarity:

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

Sukmoon Huh (2009)

Open Mathematics

Similarity:

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.

Multiplication of sections of stable vector bundles: the injectivity range.

Ballico, E. (2001)

Rendiconti del Seminario Matematico

Similarity:

K3 surfaces: moduli spaces and Hilbert schemes.

Laura Costa (1998)

Collectanea Mathematica

Similarity:

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

Toma, Matei (2001)

Documenta Mathematica

Similarity: