منابع مشابه
Clemens ’ Conjecture : Part I
This is the first of a series of two papers: Clemens’ conjecture: part I, Clemens’ conjecture: part II. In these two papers we solve the Clemens’ conjecture: there are finitely many smooth rational curves of each degree in a generic quintic threefold. In this paper, we deal with a family of smooth Calabi-Yau threefolds fǫ for a small complex number ǫ. If fǫ contains a smooth rational curve cǫ, ...
متن کاملThe Hulka Clip and the Tubal Ring
A follow-up study of 499 women who un'derwent sterilization between August 1973 and May 1976 at the Siriraj Hospital in Bangkok, Thailand, and had long-term (4-12 years post-surgery) follow-up is described. Women were sterilized through participation in one of three studies conducted at this hospital. In the first study, 124 underwent sterilization using the Hulka clip via laparoscopy; 67.7% of...
متن کاملClemens ’ S Conjecture : Part I
This is the first of a series of two papers in which we solve the Clemens conjecture: there are only finitely many smooth rational curves of each degree in a generic quintic threefold. In this paper, we deal with a family of smooth Calabi-Yau threefolds fǫ for a small complex number ǫ. If fǫ contains a smooth rational curve cǫ, then its normal bundle is Ncǫ (fǫ) = Ocǫ (k) ⊕ Ocǫ (−2− k) for k ≥ ...
متن کاملOn a Conjecture of Clemens
Clemens has conjectured that a generic sextic threefold contains no rational curves. Here we prove a generalization of this conjecture, in the form of effectivity of a certain twist of the canonical bundle of a codimension-2 subvariety of a generic hypersurface in an arbitrary ambient variety. The geometry of a desingularization Y m of an arbitrary subvariety of a generic hypersurface X n in an...
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ژورنال
عنوان ژورنال: BMJ
سال: 1979
ISSN: 0959-8138,1468-5833
DOI: 10.1136/bmj.1.6167.894