In this note we give an easy proof of the existence of generically smooth components of the expected dimension of certain Brill--Noether loci of stable rank 2 vector bundles on a curve with general moduli, with related applications to Hilbert scheme of scrolls.

Ciliberto, C., Flamini, F. (2012). Brill-Noether loci of stable rank-two vector bundles on a general curve. In EMS SERIES OF CONGRESS REPORTS "Geometry and Arithmetic" (pp.61-74). Zurich : European Mathematical Society Publishing House [10.4171/119-1/4].

Brill-Noether loci of stable rank-two vector bundles on a general curve

CILIBERTO, CIRO;FLAMINI, FLAMINIO
2012-10-01

Abstract

In this note we give an easy proof of the existence of generically smooth components of the expected dimension of certain Brill--Noether loci of stable rank 2 vector bundles on a curve with general moduli, with related applications to Hilbert scheme of scrolls.
Conference on Geometry and Arithmetic
Schiermonnikoog Isl, NETHERLANDS
2010
Foundation Compositio Math; Geometry & Quantum Theory Res Cluster; WONDER Res Sch; Netherlands Org Sci Res
Rilevanza internazionale
su invito
1-ott-2012
Settore MAT/03 - GEOMETRIA
English
Stable rank-two vector bundles on curves, Brill-Noether loci, Hilbert schemes of scrolls
As it appears form the URL http://www.ems-ph.org/books/book.php?proj_nr=155&srch=series%7Cecr: "the volume contains 21 articles written by leading experts in the fields of algebraic and arithmetic geometry. The treated topics range over a variety of themes, including moduli spaces of curves and abelian varieties, algebraic cycles, vector bundles and coherent sheaves, curves over finite fields, and algebraic surfaces, among others. The volume originates from the conference “Geometry and Arithmetic”, which was held on the island of Schiermonnikoog in The Netherlands in September 2010." The paper has 1 citation on ISI-Web of Science, 1 on American Mathematical Society Mathscinet and 7 citations on Google Scholar.
http://www.ems-ph.org/books/show_abstract.php?proj_nr=155&vol=1&rank=4
Intervento a convegno
Ciliberto, C., Flamini, F. (2012). Brill-Noether loci of stable rank-two vector bundles on a general curve. In EMS SERIES OF CONGRESS REPORTS "Geometry and Arithmetic" (pp.61-74). Zurich : European Mathematical Society Publishing House [10.4171/119-1/4].
Ciliberto, C; Flamini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/73770
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