3 papers
math.AG2005
Syzygies using vector bundles
Montserrat Teixidor i Bigas
This paper studies syzygies of curves that have been embedded in projective space by line bundles of large degree. The proofs take advantage of the relationship between syzygies an…
math.AG2003
Injectivity of the symmetric map for line bundles
Montserrat Teixidor i Bigas
Let C be a generic non-singular curve of genus g defined over a field of characteristic different from 2. We show that for every line bundle on C of degree at most g+1, the natural…
alg-geom1997
On a conjecture of Lange
B. Russo, M. Teixidor i Bigas
Let C be a projective smooth curve of genus g> 1. Let E be a vector bundle of rank r on C. For each integer r'<r, associate to E the invariant s_{r'}(E)=r'deg(E)-rdeg(E') where E'i…