Mirror symmetry and toric degenerations of partial flag manifolds

Mirror symmetry and toric degenerations of partial flag manifolds
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DOI:
10.1007/bf02392780
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发表时间:
2000-01-01
期刊:
影响因子:
3.7
通讯作者:
Van Straten, D
Van Straten, D
中科院分区:
数学1区
文献类型:
--
作者:
Batyrev, VV;Ciocan-Fontanine, I;Van Straten, D

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利用自反多面体和Gorenstein锥的组合对偶性,结合广义gkz -超几何函数理论,可以将Candelas、dela Ossa、Green和Parkes[10]对p4中一般五次三重体上d次有理曲线的个数和个数的计算推广到环型[3]、[4]、[7]、[9]中Calabi-Yau完全交的情况。
Using combinatorial dualities for reflexive polyhedra and Gorenstein cones together with the theory of generalized GKZ-hypergeometric functions, one can extend the calculation of the number nd of rational curves of degree d on the generic quintic threefold in p4 by Candelas, de la Ossa, Green and Parkes [10] to the case of Calabi-Yau complete intersections in toric varieties [3],[4],[7],[9].