Existence of coherent systems of rank two and dimension four.

Teixidor 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 -