Let Q = ℙ 1 × ℙ 1 and let C = ⊆ Q be a curve of type (a, b) having equation F = 0. The main purpose of this paper is to analize the multiplicative structure of the bi-graded module H 1 *O Q, in particular to prove that for any r, s ≥ 0 the multiplication map induced by F has maximal rank for the general C of type (a, b). Interpretations of this problem in the contexts of multilinear algebra and differential algebra are emphasized.
|Titolo:||Multiplications of maximal rank in the cohomology of P1×P1|
|Data di pubblicazione:||2012|
|Appare nelle tipologie:||1.1 Articolo in rivista|