Orbifold hodge numbers of Calabi-Yau hypersurfaces

被引：8

作者：

Poddar, M ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2003年 / 208卷 / 01期

关键词：

D O I：

10.2140/pjm.2003.208.151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify the twisted sectors of a compact simplicial toric variety. We do the same for a generic nondegenerate Calabi-Yau hypersurface of an n-dimensional simplicial Fano toric variety and then explicitly compute h(orb)(1,1)and h(orb)(n-2,1) for the hypersurface. We give applications to the orbifold string theory conjecture and orbifold mirror symmetry.

引用

页码：151 / 167

页数：17

共 6 条

[1]

Batyrev V. V., 1994, J ALGEBRAIC GEOM, V3, P493

[2]

Batyrev Victor V., 1999, J. Eur. Math. Soc. (JEMS), V1, P5, DOI 10.1007/PL00011158

[3] Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry [J].

Batyrev, VV ;

Dais, DI .

TOPOLOGY, 1996, 35 (04) :901-929

[4] ON THE HODGE STRUCTURE OF PROJECTIVE HYPERSURFACES IN TORIC VARIETIES [J].

BATYREV, VV ;

COX, DA .

DUKE MATHEMATICAL JOURNAL, 1994, 75 (02) :293-338

[5] MIRROR SYMMETRY FOR 2-PARAMETER MODELS .1. [J].

CANDELAS, P ;

DELAOSSA, X ;

FONT, A ;

KATZ, S ;

MORRISON, DR .

NUCLEAR PHYSICS B, 1994, 416 (02) :481-538

[6] DUALITY IN CALABI-YAU MODULI SPACE [J].

GREENE, BR ;

PLESSER, MR .

NUCLEAR PHYSICS B, 1990, 338 (01) :15-37

← 1 →