On tensor products of ample line bundles on abelian varieties.
Siano una varietà algebrica proiettiva complessa non singolare tridimensionale, un fibrato lineare ampio su , e un intero. Si prova che, a meno di contrarre un numero finito di -piani di , il fibrato è ampio ad eccezione di alcuni casi esplicitamente descritti. Come applicazione si dimostra l'ampiezza del divisore di ramificazione di un qualunque rivestimento di o della quadrica liscia di .
In this Note we study certain natural subsets of the cohomological stratification of the moduli spaces of rank vector bundles on an algebraic surface. In the last section we consider the following problem: take a bundle given by an extension, how can one recognize that is a certain given bundle? The most interesting case considered here is the case since it applies to the study of codimension meromorphic foliations with singularities on .
In this paper, we give an explicit description of the de Rham and -adic polylogarithms for elliptic curves using the Kronecker theta function. In particular, consider an elliptic curve defined over an imaginary quadratic field with complex multiplication by the full ring of integers of . Note that our condition implies that has class number one. Assume in addition that has good reduction above a prime unramified in . In this case, we prove that the specializations of the -adic elliptic...