Classification of Primary Q-fano 3-folds with Anti-canonical Du Val K3 Surfaces. I
نویسندگان
چکیده
Let X be a non-Gorenstein Q-Fano 3-fold with only cyclic quotient terminal singularities such that the class of −KX generates the group of numerical equivalence classes of divisors, and | −KX | contains Du Val K3 surfaces. We prove that g(X) := h(−KX)− 2 ≤ 8 and give the classification of X with g(X) ≥ 6.
منابع مشابه
ar X iv : m at h / 02 02 09 2 v 1 [ m at h . A G ] 1 1 Fe b 20 02 Fano 3 - folds , K 3 surfaces and graded rings
Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the foundational work of the 1980s. This paper is a tutorial and colloquial introduction to the explicit classification of Fano 3-folds (also known by the older name Q-Fano 3-folds), a subject that we hope is nearing completion. With the intention of remaining accessible to beginners in algebraic geom...
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