论文标题
圆环品种的极性双重性及其在镜子对称性中的后果的扩展
An extension of polar duality of toric varieties and its consequences in Mirror Symmetry
论文作者
论文摘要
本文致力于说明Fano Toric品种之间的极性双重性扩展到更普遍的双重性，称为\ emph {framed}二元性，因此产生了一种强大而统一的方法，可以产生超曲面的镜像伙伴，并在任何Kodaira diseension of Ashoviaira disemensies of Asy Kodaira diseension of Any Kodaira diseension of Any Kodaira。特别是，详细研究了投射性超曲面及其镜子合作伙伴的类别。此外，讨论了许多与已知的Landau-Ginzburg镜像模型，同源镜对称性和内在镜子对称性的连接。
The present paper is dedicated to illustrating an extension of polar duality between Fano toric varieties to a more general duality, called \emph{framed} duality, so giving rise to a powerful and unified method of producing mirror partners of hypersurfaces and complete intersections in toric varieties, of any Kodaira dimension. In particular, the class of projective hypersurfaces and their mirror partners are studied in detail. Moreover, many connections with known Landau-Ginzburg mirror models, Homological Mirror Symmetry and Intrinsic Mirror Symmetry, are discussed.
