15 citations · 37 across the 4 of their papers we have counts for
8 papers · 1 filter
Classification of log del Pezzo surfaces of index
Valery Alexeev, Viacheslav V. Nikulin
This is an expanded version of our work [AN88], 1988, in Russian. We classify del Pezzo surfaces over C with log terminal singularities of index \le 2. By classification, we unders…
On algebraic varieties with finite polyhedral Mori cone
Viacheslav V. Nikulin
The fundamental property of Fano varieties with mild singularities is that they have a finite polyhedral Mori cone. Thus, it is very interesting to ask: What we can say about algeb…
On a classical correspondence between K3 surfaces II
Carlo Madonna, Viacheslav V. Nikulin
Let X be a K3 surface and H a primitive polarization of degree H^2=2a^2, a>1. The moduli space of sheaves over X with the isotropic Mukai vector (a,H,a) is again a K3 surface Y whi…
On a classical correspondence between K3 surfaces
Carlo Madonna, Viacheslav V. Nikulin
Let X be a K3 surface which is intersection of three (a net P^2) of quadrics in P^5. The curve of degenerate quadrics has degree 6 and defines a double covering of P^2 K3 surface Y…
A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three
Valeri A. Gritsenko, Viacheslav V. Nikulin
This is the announcement and partly the review of our results about classification of Lorentzian Kac-Moody algebras of the rank three. One of our results gives the classification o…
On the classification of hyperbolic root systems of the rank three. Part III
Viacheslav V. Nikulin
See Parts I and II in alg-geom/9711032 and alg-geom/9712033. Here we classify maximal hyperbolic root systems of the rank three having restricted arithmetic type and a generalized…