Nikulinの格子の理論

●Nikulinによる格子（整数上対称双１次形式）の理論に関する文献：

I. Dolgachev and V. Nikulin

Exceptional singularities of V.I. .Arnold and K3-surfaces,

Proc.Minsk Topology Conf. Minsk. 1977 ( abstract ) .

V. Nikulin

Finite groups of automorphisms of Kahlerian surfaces of type K3 ,

Proc.Moscow Math.Soc., 38(1979),75-137.

V.V. Nikulin,
Integral symmetric bilinear forms and some of their applications,
Izv. Akad. Nauk SSSR Ser Mat., 43-1 (1979), 111--177.
= Math. USSR Izv., 14-1 (1980), 103--167.

keywords:

non-degenerate lattice,

unimodular, even lattice, genus,

primitive embedding,

finite quadratic form,

discriminant group,

discriminant form,

2-elementary lattice,

hyperbolic (=Lorenzian)

V. Nikulin

On arithmetic groups generated by reflections in Lobachevsky spaces, 44 (1980), 637-668 .

V. Nikulin

On the quotient groups of automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections.

Algebraic-geometrical applications. Modern Problems in Math., vol.18. Moscow. 1981, 1-114

(to be translated in J.Sov.Math.).

V. Nikulin

On classification of arithmetic groups generated by reflections in Lobachevsky spaces,

Izv.Akad.Nauk SSSR, Ser. Math., 45 (1981),113-142 .

Dolgachev, Igor
Integral quadratic forms :

applications to algebraic geometry.

Séminaire Bourbaki, 25 (1982-1983 ), Exposé No. 611, 28 p.

V.V. Nikulin,
Involutions of integral quadratic forms and their applications to real algebraic geometry,
Izv.-Akad.-Nauk-SSSR-Ser.-Mat. 47-1 (1983), 109--188.
English transl., Math.USSR Izv., 22 (1984), 99--172.

V.V. Nikulin,
Filterings of 2-elementary forms and involutions of integral bilinear symmetric
and skew-symmetric forms,

Izv.-Akad.-Nauk-SSSR-Ser.-Mat., 49-4 (1985), 847--873.