Derived-Equivalent Rational Threefolds
نویسندگان
چکیده
منابع مشابه
Rational Curves on Calabi-yau Threefolds
In the conformal field theory arising from the compactification of strings on a Calabi-Yau threefold X, there naturally arise fields correspond to harmonic forms of types (2,1) and (1,1) on X [4]. The uncorrected Yukawa couplings in H and H are cubic forms that can be constructed by techniques of algebraic geometry — [20] contains a nice survey of this in a general context in a language written...
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My interests in the study of curves on Calabi-Yau threefolds have largely been shaped in two ways: by the tutelage and guidance of Herb Clemens while I was an instructor at the University of Utah in the early 80’s, and by the interaction between geometry and string theory. This note is the result of both of these influences. Herb impressed upon me the importance of the consideration of elementa...
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In this paper we study 15 complete intersection K3-fibered Calabi–Yau variety types in biprojective space P1 × P These are all the CICY-types that are K3 fibered by the projection on the second factor. We prove existence of isolated rational curves of bidegree (d, 0) for every positive integer d on a general Calabi– Yau variety of these types. The proof depends heavily on existence theorems for...
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Rational Curves on Fano Threefolds of Picard Number One
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2014
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnu117