f(a) = ί f(v)e>>dv Jv gives an isometry between L\V) and L(V), where V is the dual vector space of V and < , >: Vx V -> R is the canonical pairing. In this article, we shall show that an analogy… Expand

The Enriques-Fano classification ([E.F], [F]) of the maximal connected algebraic subgroups of the three variable Cremona group, despite of its group theoretic feature, seems to be the most… Expand

The Fano 3-folds and their higher dimensional analogues are classified over an arbitrary field k [unk] C by applying the theory of vector bundles (in the case B(2) = 1) and the theory of extremal… Expand

This article contains the classification of Fano 3-folds with B2≥2. There exist exactly 87 types of such 3-folds up to deformations; a Fano 3-fold is isomorphic to a product of Pl and a del Pezzo… Expand

1. Invariants and moduli 2. Rings and polynomials 3. Algebraic varieties 4. Algebraic groups and rings of invariants 5. Construction of quotient spaces 6. Global construction of quotient varieties 7.… Expand

This article contains the classification of Fano 3-folds with B2≥2.There exist exactly 87 types of such 3-folds up to deformations; a Fano 3-fold is isomorphic to a product of Pl and a del Pezzo… Expand

A pair ( S , L ) of a K3 surface S and a pseudo-ample line bundle L on S with ( L 2 ) = 2 g − 2 is called a (polarized) K3 surface of genus g . Over the complex number field, the moduli space F g of… Expand