On Some Arithmetic Problems Related to the Hodge Cycles on the Fermat Varieties.
On Some Arithmetic Problems Related to the Hodge Cycles on the Fermat Varieties (Erratum).
On standard norm varieties
Let be a prime integer and a field of characteristic . Let be thenorm varietyof a symbol in the Galois cohomology group (for some ), constructed in the proof of the Bloch-Kato conjecture. The main result of the paper affirms that the function field has the following property: for any equidimensional variety , the change of field homomorphism of Chow groups with coefficients in integers localized at is surjective in codimensions . One of the main ingredients of the proof is a computation...
On Steenbrink's conjecture.
On tensor products of ample line bundles on abelian varieties.
On the 2 and the 3-connectedness of ample divisors on a surface.
On the 2 Very Ampleness of the Adjoint Bundle.
On the Abel-Jacobi map for divisors of higher rank on a curve.
On the adjoint system to a very ample divisor on a surface and connected inequalities
Si caratterizzano alcune classi di superfici in relazione all’indice di autointersezione dell'aggiunto ad un divisore molto ampio.
On the adjoint system to a very ample divisor on a surface and connected inequalities
Siano: una superficie algebrica proiettiva complessa non singolare, un divisore canonico ed un divisore molto ampio su . Questo lavoro ha per oggetto lo studio dell'indice di autointersezione . Si dimostra, innanzitutto, la disuguaglianza , nell'ipotesi che la superficie ottenuta immergendo mediante il sistema lineare completo non sia uno scroll. Questa disuguaglianza è connessa con alcuni risultati di Sommese e Van de Ven sulla generazione del fascio . La dimostrazione della (I)...
On the Adjunction Mapping.
On the adjunction mapping for surfaces of Kodaira dimension ... 0 in Char.p.
On the adjunction process over a surface in char p.
On the adjunction theoretic classification of polarized varieties.
On the Affine Bezout Inequaltiy.
On the ampleness of for a polarized threefold
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 .
On the arithmetic Chern character
We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternated sum of the arithmetic Chern characters of these bundles is the sum of two terms, namely the secondary Bott Chern class of the sequence and its Chern character with support on the finite fibers.Next, we compute these classes in the situation encountered by the second author when proving a “Kodaira vanishing theorem” for arithmetic...
On the Brauer-Manin obstruction for zero-cycles on curves
On the calculation of some differential galois groups.
On the canonical ring of algebraic varieties