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FANO MANIFOLDS AND BLOW-UPS OF LOW-DIMENSIONAL SUBVARIETIES

Elena Chierici|Gianluca Occhetta
대한수학회 (The Korean Mathematical Society)|2010.01|대한수학회지 (Journal of the KMS)|제47권 제1호|pp. 189-213

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참고문헌

키워드

rational curvesFano manifolds
주제분류수학

초록

We study Fano manifolds of pseudoindex greater than one and dimension greater than five,which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.

Abstract

We study Fano manifolds of pseudoindex greater than one and dimension greater than five,which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.

참고문헌 (29)

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