HOMOGENEOUS POLYNOMIAL HYPERSURFACE ISOLATED SINGULARITIES

Title & Authors
HOMOGENEOUS POLYNOMIAL HYPERSURFACE ISOLATED SINGULARITIES
Akahori, Takao;

Abstract
The mirror conjecture means originally the deep relation between complex and symplectic geometry in Calabi-Yau manifolds. Recently, this conjecture is posed beyond Calabi-Yau, and even to, open manifolds (e.g. $\small{A_{n}}$ singularities and its resolution) is discussed. While if we treat open manifolds, we can't avoid the boundary (in our case, CR manifolds). Therefore we pose the more precise conjecture (mirror symmetry with boundaries). Namely, in mirror symmetry, for boundaries, what kind of structure should correspond\ulcorner For this problem, the $\small{A_{n}}$ case is studied.
Keywords
symplectic geometry;isolated singularities;CR structures;
Language
English
Cited by
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