'Rational curves' diaporamas de présentation

Embedded Curves and Gromov-Witten Invariants

Embedded Curves and Gromov-Witten Invariants. Eaman Eftekhary Harvard University. Gromov-Witten theory. M: Calabi-Yau manifold: i.e. complex Kahler manifold with a Kahler form w and with trivial canonical class. Gromov-Witten theory.

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Rational curves interpolated by polynomial curves

644 views • 50 slides

Last Time

Last Time. Geometric continuity Parametric surfaces General Tensor product surfaces Bezier surfaces. Today. BSplines. B-splines. B-splines automatically take care of continuity, with exactly one control vertex per curve segment

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Algebraic surface: F(x,y,z) = 0 p a = P 2 = 0

Overview. Algebraic surface: F(x,y,z) = 0 p a = P 2 = 0. 1. 2. Enriques, 1895 ( over any field , inconstr.). Schicho, 1996 (over any field, constr. ). Castelnuovo, 1896 (over C , inconstr.). pencil of rational curves. Riemann, 1850 Noether, 1870 Sendra,Winkler, 1997.

192 views • 10 slides