On symmetric and unsymmetric theta functions over a real quadratic field
On symmetric semialgebraic sets and orbit spaces
For a symmetric (= invariant under the action of a compact Lie group G) semialgebraic basic set C, described by s polynomial inequalities, we show, that C can also be written by s + 1 G-invariant polynomials. We also describe orbit spaces for the action of G by a number of inequalities only depending on the structure of G.
On symmetric square values of quadratic polynomials
On systems of linear inequalities
We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems. The proof is based on a numerical criterion for a system of linear inequalities to be semi-stable.
On tangent cones to Schubert varieties in type
We consider tangent cones to Schubert subvarieties of the flag variety , where is a Borel subgroup of a reductive complex algebraic group of type , or . We prove that if and form a good pair of involutions in the Weyl group of then the tangent cones and to the corresponding Schubert subvarieties of do not coincide as subschemes of the tangent space to at the neutral point.
On Teichmüller modular forms.
On tensor products of ample line bundles on abelian varieties.
On the (-1)-curve conjecture of Friedmann and Morgan.
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 Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the addition of the double ...-functions.
On the ?-adic representations associated to some simple Shimura varieties.
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 Singular Projective Varieties.
On the adjunction mapping for surfaces of Kodaira dimension ... 0 in Char.p.
On the adjunction process over a surface in char p.