PERIODS OF TROPICAL CALABI-YAU HYPERSURFACES

被引:1
作者
Yamamoto, Yuto [1 ]
机构
[1] Inst Basic Sci IBS, Ctr Geometry & Phys, Pohang 37673, South Korea
关键词
LOGARITHMIC DEGENERATION DATA; QUANTUM COHOMOLOGY; MIRROR SYMMETRY; AFFINE STRUCTURES;
D O I
10.1090/jag/778
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the residual B-model variation of Hodge structure of Iritani defined by a family of toric Calabi???Yau hypersurfaces over a punctured disk D \{0}. It is naturally extended to a logarithmic variation of polarized Hodge structure of Kato???Usui on the whole disk D. By restricting it to the origin, we obtain a polarized logarithmic Hodge structure (PLH) on the standard log point. In this paper, we describe the PLH in terms of the integral affine structure of the dual intersection complex of the toric degeneration in the Gross???Siebert program.
引用
收藏
页码:303 / 343
页数:41
相关论文
共 36 条
[1]  
Abouzaid Mohammed, 2018, ARXIV180902177
[2]   The j-invariant of a plane tropical cubic [J].
不详 .
JOURNAL OF ALGEBRA, 2008, 320 (10) :3832-3848
[3]  
Batyrev V.V., 1994, J ALGEBRAIC GEOM, V3, P493
[4]   Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry [J].
Batyrev, VV ;
Dais, DI .
TOPOLOGY, 1996, 35 (04) :901-929
[5]   Mirror duality and string-theoretic Hodge numbers [J].
Batyrev, VV ;
Borisov, LA .
INVENTIONES MATHEMATICAE, 1996, 126 (01) :183-203
[6]  
BATYREV VV, 1993, ASTERISQUE, P9
[7]  
Cox D. A., 1999, MATH SURVEYS MONOGRA, V68, DOI DOI 10.1090/SURV/068
[8]  
Danilov V. I., 1978, USPEKHI MAT NAUK, V33, P247
[9]  
Deligne Pierre, 1970, LECT NOTES MATH, V163
[10]  
Felten FFR19] Simon, 2019, ARXIV190811235, DOI [10.2307/1999812, DOI 10.2307/1999812]