Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
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TL;DR: In this paper, the quadratic, cubic, quartic and quintic arcs are chosen in such a way that each arc is always a parabola which passes through four points of the original curve, thus ensuring a good approximation.
31 citations
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TL;DR: In this article, a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds was derived and the corresponding mirror symmetry conjecture of Bershadsky, Cecotti, Ooguri and Vafa was verified.
Abstract: We derive a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds and verify the corresponding mirror symmetry conjecture of Bershadsky, Cecotti, Ooguri and Vafa.
31 citations
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01 Mar 2014TL;DR: In this paper, the Brauer class of rational cubic four-folds is studied and it is shown that in the moduli space of cubic fourfolds, the intersection of divisorsC8\C14 has irreducible components.
Abstract: We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric surface bundle does not have a rational section. This is equivalent to the nontriviality of the Brauer class of the even Cliord algebra over the K3 surface S of degree 2 arising from X. Specically, we show that in the moduli space of cubic fourfolds, the intersection of divisorsC8\C14 has ve irreducible components. In the component corresponding to the existence of a tangent conic, we prove that the general member is both pfaan and has nontrivial. Such cubic fourfolds provide twisted derived equivalences between K3 surfaces of degrees 2 and 14, hence further corroboration of Kuznetsov’s derived categorical conjecture on the rationality of cubic fourfolds.
31 citations
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31 citations
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TL;DR: The lattice shapes of the rings of integers in these fields become equidistributed in the space of lattices as discussed by the authors, where the lattice shape of the ring of the integers is ordered by their absolute discriminants.
Abstract: For are ordered by their absolute discriminants, the lattice shapes of the rings of integers in these fields become equidistributed in the space of lattices.
31 citations