Symmetrische Modulflächen der Diskriminante p2.
Symplectic Topology and Extemal Rays.
Systèmes linéaires adjoints
Nous développons une version de la théorie d’indice d’Atiyah pour les faisceaux cohérents sur les variétés algébriques lisses et l’utilisons pour attaquer certaines questions de J. Kollár.Soit une variété complexe compacte projective algébrique lisse et connexe. Nous prouvons que si est un diviseur nef et gros, tel que la restriction de à la fibre générale d’une application de Shafarevich est effective, est effectif.Soit une variété kählérienne compacte telle qu’il existe une classe...
Syzygies and the Abel-Jacobi map for cyclic coverings.
Teorema de irreducibilidad para correspondencias algebraicas.
Sea T una correspondencia algebraica irreducible entre dos variedades proyectivas, V y V', sobre un cuerpo k algebraicamente cerrado y de característica cero. Sea W una subvariedad irreducible de V y W' = T{W} la transformada total de W en T. En [1] se estudia el problema de la conexión de W' y en [3] se estudia el problema de la irreducibilidad de la transformada total de W en correspondencias locales. La finalidad de este artículo es la de aprovechar los resultados de los dos trabajos citados,...
The asymptotic behaviour of the number of solutions of polynomial congruences.
The automorphism group of
The paper studies fiber type morphisms between moduli spaces of pointed rational curves. Via Kapranov’s description we are able to prove that the only such morphisms are forgetful maps. This allows us to show that the automorphism group of is the permutation group on elements as soon as .
The automorphism group of the modular curve
The automorphism groups of Zariski open affine subsets of the affine plane
We study some properties of the affine plane. First we describe the set of fixed points of a polynomial automorphism of ℂ². Next we classify completely so-called identity sets for polynomial automorphisms of ℂ². Finally, we show that a sufficiently general Zariski open affine subset of the affine plane has a finite group of automorphisms.
The Bauer Group of a Rational Surface.
The birational automorphism groups and the Albanese maps of varieties with Kodaira dimension zero.
The Birational Geometry of Surfaces with Rational Double Points.
The Bogomolov multiplier of groups of order and exponent
We conduct an in-depth investigation into the structure of the Bogomolov multiplier for groups of order and exponent . We present a comprehensive...
The canonical filtration of higher dimensional purely elliptic singularity of a special type.
The Cubo-Cubic Transformation of IP3 is Very Special.
The discriminant of a real simple singularity
The effect of rational maps on polynomial maps
We describe the polynomials P ∈ ℂ[x,y] such that . As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.
The effect on associated prime ideals produced by an extension of the base field.
The exponent of an abelian subvariety.
The Extension of Regular and Rational Embeddings.