Erratum to Tropical mirror symmetry for elliptic curves (J. reine angew. Math. 732 (2017), 211–246)
نویسندگان
چکیده
منابع مشابه
J. reine angew. Math. 588 (2005), 49—69
We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge metrics and the BCOV torsion. Using this relation, we prove that certain kind of moduli spaces of polarized Calabi-Yau manifolds do not admit complete subvarieties. That is, there is no complete smooth family for certain class of polarized Calabi-Yau manifolds. We also give an estimate of the complex Hess...
متن کاملJ. reine angew. Math. 588 (2005), 1—25
We characterize, in terms of elementary properties, the abelian monoids which are direct limits of finite direct sums of monoids of the form ðZ=nZÞ t f0g (where 0 is a new zero element), for positive integers n. The key properties are the Riesz refinement property and the requirement that each element x has finite order, that is, ðnþ 1Þx 1⁄4 x for some positive integer n. Such monoids are neces...
متن کاملMirror Symmetry and Elliptic Curves
I review how recent results in quantum eld theory con-rm two general predictions of the mirror symmetry program in the special case of elliptic curves: (1) counting functions of holomorphic curves on a Calabi-Yau space (Gromov-Witten invariants) arèquasi-modular forms' for the mirror family; (2) they can be computed by a summation over trivalent Feynman graphs.
متن کاملpreliminary draft November 15 , 2002 Mirror Symmetry and Elliptic Curves ∗
I review how recent results in quantum field theory confirm two general predictions of the mirror symmetry program in the special case of elliptic curves: (1) counting functions of holomorphic curves on a CalabiYau space (Gromov-Witten invariants) are ‘quasi-modular forms’ for the mirror family; (2) they can be computed by a summation over trivalent Feynman graphs. ∗To be published in The Modul...
متن کاملSome remarks on mirror symmetry and noncommutative elliptic curves
This paper agrees basically with the talk of the author at the workshop “Homological Mirror Symmetry and Applications”, Institute for Advanced Study, Princeton, March 2007.
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2018
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2018-0017