Results 21 to 29 of about 10,738 (29)

Curve counting via stable pairs in the derived category

, 2019
For a nonsingular projective 3-fold $X$, we define integer invariants virtually enumerating pairs $(C,D)$ where $C\subset X$ is an embedded curve and $D\subset C$ is a divisor.
A. Klemm, A.-M. Li, B. Szendrői, C. Faber, D. Huybrechts, D. Joyce, D. Maulik, D. Maulik, E. Ionel, J. Bryan, J. Kollár, J. Le Potier, J. Le Potier, J. Li, J. Li, J. Li, J. Li, K. Behrend, K. Behrend, K. Behrend, M. Aganagic, M. Lieblich, P. Candelas, P.S. Aspinwall, R. P. Thomas, R. Pandharipande, R. Pandharipande, R. Pandharipande, R. Pandharipande, R.P. Thomas, S. Hosono, S. Katz, S. Katz, S.K. Donaldson, T. Bridgeland, T. Bridgeland, T. Graber, W. Lowen, Y. Toda   +38 more
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The second Betti number of hyperk\"ahler manifolds [PDF]

, 2015
Let $M$ be a compact irreducible hyperkahler manifold, from Bogomolov inequality [V1] we obtain forbidden values of the second Betti number $b_2$ in arbitrary dimension.
Kurnosov, Nikon
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Geometric Transitions

, 2004
The purpose of this paper is to give, on one hand, a mathematical exposition of the main topological and geometrical properties of geometric transitions, on the other hand, a quick outline of their principal applications, both in mathematics and in ...
Altmann, Aspinwall, Barth, Batyrev, Batyrev, Batyrev, Batyrev, Batyrev, Batyrev, Beauville, Berglund, Berglund, Bogomolov, Calabi, Candelas, Candelas, Candelas, Chiang, Clemens, Diaconescu, Dimca, Enriques, Friedman, Friedman, Gopakumar, Green, Green, Greene, Greene, Griffiths, Gross, Gross, Hirzebruch, Joyce, Katz, Kawamata, Kleiman, Kleppe, Kodaira, Kollár, Lynker, Michele Rossi, Milnor, Mori, Morrison, Morrison, Namikawa, Namikawa, Namikawa, Ooguri, Ran, Ran, Reid, Reid, Reid, Reid, Reid, Schlessinger, Schoen, Sieberg, Steenbrink, Strominger, Tamás, Tian, Tian, Todorov, t’Hooft, Van Geemen, Voisin, Wall, Werner, Wilson, Wilson, Wilson, Witten, Yau   +75 more
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Nash regulous functions

, 2017
A real-valued function on R^n is k-regulous, where k is a nonnegative integer, if it is of class C^k and can be represented as a quotient of two polynomial functions on R^n. Several interesting results involving such functions have been obtained recently.
Kucharz, Wojciech
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D-equivalence and K-equivalence

, 2002
Let $X$ and $Y$ be smooth projective varieties over $\mathbb{C}$. They are called {\it $D$-equivalent} if their derived categories of bounded complexes of coherent sheaves are equivalent as triangulated categories, while {\it $K$-equivalent} if they are ...
Kawamata, Yujiro
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The global geometry of the moduli space of curves

, 2008
This is a survey written for the Proceedings of the AMS Summer Institute in Algebraic Geometry held in Seattle in 2005. Topics discussed in the survey include the ample and the effective cone of the moduli space of curves, Kodaira dimension, Slope ...
Farkas, Gavril
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Higher elliptic genera

, 2008
We show that elliptic classes introduced in our earlier paper for spaces with infinite fundamental groups yield Novikov's type higher elliptic genera which are invariants of K-equivalence.
Borisov, L., Libgober, A.
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Mapping F₁-land: an overview of geometries over the field with one element [PDF]

, 2012
Lorscheid, O., López Peña, J.
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Moduli, motives, mirrors.

, 2001
Manin, Y.
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