
arXiv: math/0412514
handle: 10281/404933 , 2318/25891
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 physics.
44 pages
toric degenerations, High Energy Physics - Theory, vacuum degeneracy problem, FOS: Physical sciences, mirror symmetry, Mathematical Physics (math-ph), Calabi-Yau manifolds (algebro-geometric aspects), 14D06, 14E15 (Primary); 53Z05 (Secondary), Mathematics - Algebraic Geometry, geometric transitions, Reid's fantasy, High Energy Physics - Theory (hep-th), Conifold transitions; Geometric transitions; Mirror symmetry; Moduli spaces of Calabi-Yau three-folds; Reid's fantasy; Reverse transition; Toric degenerations; Vacuum degeneracy problem;, moduli spaces of Calabi-Yau three-folds, reverse transition, FOS: Mathematics, conifold transitions, 53Z05 (Secondary), Calabi-Yau theory (complex-analytic aspects), 14D06, 14E15 (Primary), Algebraic Geometry (math.AG), Mathematical Physics
toric degenerations, High Energy Physics - Theory, vacuum degeneracy problem, FOS: Physical sciences, mirror symmetry, Mathematical Physics (math-ph), Calabi-Yau manifolds (algebro-geometric aspects), 14D06, 14E15 (Primary); 53Z05 (Secondary), Mathematics - Algebraic Geometry, geometric transitions, Reid's fantasy, High Energy Physics - Theory (hep-th), Conifold transitions; Geometric transitions; Mirror symmetry; Moduli spaces of Calabi-Yau three-folds; Reid's fantasy; Reverse transition; Toric degenerations; Vacuum degeneracy problem;, moduli spaces of Calabi-Yau three-folds, reverse transition, FOS: Mathematics, conifold transitions, 53Z05 (Secondary), Calabi-Yau theory (complex-analytic aspects), 14D06, 14E15 (Primary), Algebraic Geometry (math.AG), Mathematical Physics
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