# Existence of coherent systems of rank two and dimension four.

Collectanea Mathematica (2007)

- Volume: 58, Issue: 2, page 193-198
- ISSN: 0010-0757

## Access Full Article

top## Abstract

top## How to cite

topTeixidor i Bigas, Montsserrat. "Existence of coherent systems of rank two and dimension four.." Collectanea Mathematica 58.2 (2007): 193-198. <http://eudml.org/doc/41806>.

@article{TeixidoriBigas2007,

abstract = {We show that the moduli space of coherent systems of rank two and dimension four on a generic curve of genus at least two is non-empty for any value of the parameter when the Brill-Noether number is at least one and the degree is odd or when the Brill-Noether number is at least ve and the degree is even. In all these cases there is one component of the moduli space of coherent systems of the expected dimension. The case of rank two and dimension four is particularly relevant as it is the rst case that cannot be treated by reduction to smaller rank or dimension.},

author = {Teixidor i Bigas, Montsserrat},

journal = {Collectanea Mathematica},

keywords = {Curvas algebraicas; Haces vectoriales},

language = {eng},

number = {2},

pages = {193-198},

title = {Existence of coherent systems of rank two and dimension four.},

url = {http://eudml.org/doc/41806},

volume = {58},

year = {2007},

}

TY - JOUR

AU - Teixidor i Bigas, Montsserrat

TI - Existence of coherent systems of rank two and dimension four.

JO - Collectanea Mathematica

PY - 2007

VL - 58

IS - 2

SP - 193

EP - 198

AB - We show that the moduli space of coherent systems of rank two and dimension four on a generic curve of genus at least two is non-empty for any value of the parameter when the Brill-Noether number is at least one and the degree is odd or when the Brill-Noether number is at least ve and the degree is even. In all these cases there is one component of the moduli space of coherent systems of the expected dimension. The case of rank two and dimension four is particularly relevant as it is the rst case that cannot be treated by reduction to smaller rank or dimension.

LA - eng

KW - Curvas algebraicas; Haces vectoriales

UR - http://eudml.org/doc/41806

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.