Models of rationally connected manifolds

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概要

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• We study rationally connected (projective) manifolds X via the concept of a model (X, Y), where Y is a smooth rational curve on X having ample normal bundle. Models are regarded from the view point of Zariski equivalence, birational on X and biregular around Y. Several numerical invariants of these objects are introduced and a notion of minimality is proposed for them. The important special case of models Zariski equivalent to (\bm{P}<SUP>n</SUP>, line) is investigated more thoroughly. When the (ample) normal bundle of Y in X has minimal degree, new such models are constructed via special vector bundles on X. Moreover, the formal geometry of the embedding of Y in X is analysed for some non-trivial examples.

• 社団法人 日本数学会の論文
• 2003-01-01

著者

• Ionescu Paltin

  Department Of Mathematics University Of Bucharest

• VOICA Cristian

  Department of Mathematics University of Bucharest

関連論文

• Models of rationally connected manifolds

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