A Barth-Lefschetz type theorem for branched coverings of Grassmannians.
Let be a smooth projective curve defined over an algebraically closed field , and let denote the absolute Frobenius morphism of when the characteristic of is positive. A vector bundle over is called virtually globally generated if its pull back, by some finite morphism to from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of is positive, a vector bundle over is virtually globally generated if and only if for...
Si costruiscono curve di genere , che hanno fasci semicanonici tali che . Per si dimostra che gli sono molto ampi.
Let be a globally generated ample vector bundle of rank on a complex projective smooth surface . By extending a recent result by A. Noma, we classify pairs as above satisfying .