Appendice à «Singularités rationnelles de surfaces»
Appendix : “Picard groups of Zariski surfaces”
Appendix to : “smoothings of cusp singularities via triangle singularities”
Application d'un théorème sur les surfaces de second ordre à la solution de la question 926
Applications of iterated curve blow-up to set theoretic complete intersections in ...3.
Applications of the Ein-Lazarsfeld cirterion for spannedness of adjoint bundles.
Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Applications rationnelles séparables dominantes sur une variété de type général
Approximation faible aux places de bonne réduction sur les surfaces cubiques sur les corps de fonctions
On démontre que les surfaces cubiques lisses sur les corps de fonctions d’une courbe sur un corps algébriquement clos de caractéristique vérifient l’approximation faible aux places de bonne réduction. La méthode utilisée imite celle employée par Swinnerton-Dyer [10] dans le cas des corps de nombres.
Arcs analytiques et résolution minimale des singularités des surfaces quasi homogènes
Are rational curves determined by tangent vectors?
Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.
Arithmetic cycles on Picard modular surfaces and modular forms of Nebentypus.
Arithmetic Monodromy Groups.
Arithmetic of Pell surfaces
Arithmetic on singular cubic surfaces
Arithmetical quadratic surfaces of genus 0, I.
Arithmetical quadratic surfaces of genus 0, II.
Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.
Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
Around real Enriques surfaces.
We present a brief overview of the classification of real Enriques surfaces completed recently and make an attempt to systemize the known classification results for other special types of surfaces. Emphasis is also given to the particular tools used and to the general phenomena discovered; in particular, we prove two new congruence type prohibitions on the Euler characteristic of the real part of a real algebraic surface.
Around the intersection form of an isolated singularity of hypersurface