热带Calabi-Yau超曲面的周期

IF 0.9 1区 数学 Q2 MATHEMATICS
Yuto Yamamoto
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引用次数: 5

摘要

我们考虑了在穿孔盘D \{0} D \setminus \left \{0\right \}上由一组环形Calabi-Yau超曲面定义的Iritani的Hodge结构的残差b模型变分。它自然地被推广到加藤-臼井极化Hodge结构在整个圆盘上的对数变化。将其限制在原点上,得到了标准对数点上的极化对数霍奇结构(PLH)。本文用Gross-Siebert规划中圆环退化对偶交复合体的积分仿射结构来描述PLH。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Periods of tropical Calabi–Yau hypersurfaces
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 } D \setminus \left \{ 0\right \} . It is naturally extended to a logarithmic variation of polarized Hodge structure of Kato–Usui on the whole disk D 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.
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来源期刊
CiteScore
2.70
自引率
5.60%
发文量
23
审稿时长
>12 weeks
期刊介绍: The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.
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