Versal Deformations and Algebraic Stacks.
Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes.
Versions kählériennes du théorème d'annulation de Bogomolov.
We extend to compact Kaehler and Fujiki manifolds the theorem of F. Bogomolov, on vanishing of the space of holomorphic p-forms with values in a line bundle whose dual L is numerically effective, for the degrees p less than the numerical dimension of L.
Vertex algebras and algebraic curves
Vertex algebras and the formal loop space
We construct a certain algebro-geometric version of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme of formal arcs in X as studied by Kontsevich and Denef-Loeser. We describe the chiral de Rham complex of Malikov, Schechtman and Vaintrob in terms of the space of formal distributions on supported in . We also show that possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains the heuristic...
Very Ample Divisors on Rational Surfaces.
Very ample line bundles on blown-up projective varieties.
Very ample linear systems on abelian varieties.
Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.
Quite recently, Alexeev and Nakamura proved that if Y is a stable semi-Abelic variety (SSAV) of dimension g equipped with the ample line bundle OY(1), which deforms to a principally polarized Abelian variety, then OY(n) is very ample as soon as n ≥ 2g + 1, that is n ≥ 5 in the case of surfaces. Here it is proved, via elementary methods of projective geometry, that in the case of surfaces this bound can be improved to n ≥ 3.
Viro's theorem for complete intersections
Visualization of simple algebro-geometric ideas
Visualizing elements in the Shafarevich-Tate group.
Volcanoes of l-isogenies of elliptic curves over finite fields: The case l=3.
This paper is devoted to the study of the volcanoes of ℓ-isogenies of elliptic curves over a finite field, focusing on their height as well as on the location of curves across its different levels. The core of the paper lies on the relationship between the ℓ-Sylow subgroup of an elliptic curve and the level of the volcano where it is placed. The particular case ℓ = 3 is studied in detail, giving an algorithm to determine the volcano of 3-isogenies of a given elliptic curve. Experimental results...
Vollständige Durchschnitte in Steinschen Mannigfaltigkeiten.
Vollständige, fast-vollständige und mengen-theoretisch-vollständige Durchschnitte in Steinschen Mannigfaltigkeiten.
Von der Zerlegung der Discriminante der cubischen Gleichung, welche die Hauptaxen einer Fläche zweiter Ordnung bestimmen, in eine Summe von Quadraten.
Vzájemný vztah různých systémů dotykových kuželoseček obecné křivky čtvrtého stupně