Alberto López Martín

collaborators

2 papers

math.AG2014

Invariants of the Brill-Noether curve

Abel Castorena, Alberto López Martín, Montserrat Teixidor i Bigas

For a projective nonsingular curve of genus $g$ , the Brill-Noether locus $W_{d}^{r} (C)$ parametrizes line bundles of degree $d$ over $C$ with at least $r + 1$ sections. When the curve is…

math.AG2012

Petri map for vector bundles near good bundles

Abel Castorena, Alberto López Martín, Montserrat Teixidor i Bigas

We show that on a generic curve and under some conditions on the degree and genus, there exists a component B of the locus of stable vector bundles of rank r and degree d with at l…