Base curves of multicanonical systems on threefolds
Base points of polar curves
The base points of the system of polar curves of an irreducible algebroid plane curve with general moduli are determined. As consequences a lower bound for the Tjurina number and many continuous analytic invariants of the curve are found.
Basepoint freeness for nef and big line bundles in positive characteristic.
Bi-extensions associated to divisors on abelian varieties and theta functions
Birational Morphisms to lP2: An Ideal-Theoretic Perspective.
Bounds on the number of non-rational subfields of a function field.
Bounds on the Serre cohomology of projective varieties
Brill–Noether loci for divisors on irregular varieties
We take up the study of the Brill-Noether loci , where is a smooth projective variety of dimension , , and is an integer. By studying the infinitesimal structure of these loci and the Petri map (defined in analogy with the case of curves), we obtain lower bounds for , where is a divisor that moves linearly on a smooth projective variety of maximal Albanese dimension. In this way we sharpen the results of [Xi] and we generalize them to dimension . In the -dimensional case we prove an...
Brill-Noether theory for non-special linear systems