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Duality between $D(X)$ and $D(\hat X)$ with its application to Picard sheaves
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 analogyExpand
Minimal rational threefolds. II
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 mostExpand
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3.
  • S. Mukai
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 May 1989
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 extremalExpand
Classification of Fano 3-folds with B2≥2
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 PezzoExpand
An Introduction to Invariants and Moduli
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
Classification of Fano 3-folds with B2≥2
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 PezzoExpand
Curves, K3 Surfaces and Fano 3-folds of Genus ≤ 10
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 ofExpand
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