کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426075 1345424 2011 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representations on the cohomology of hypersurfaces and mirror symmetry
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Representations on the cohomology of hypersurfaces and mirror symmetry
چکیده انگلیسی

We study the representation of a finite group acting on the cohomology of a non-degenerate, invariant hypersurface of a projective toric variety. We deduce an explicit description of the representation when the toric variety has at worst quotient singularities. As an application, we conjecture a representation-theoretic version of Batyrev and Borisov's mirror symmetry between pairs of Calabi-Yau hypersurfaces, and prove it when the hypersurfaces have dimension at most 3. An interesting consequence is the existence of pairs of Calabi-Yau orbifolds whose Hodge diamonds are mirror, with respect to the usual Hodge structure on singular cohomology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 226, Issue 6, 1 April 2011, Pages 5268-5297
نویسندگان
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