Convergence domains of hypergeometric series in manifolds of Kalaby - Yau theory


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The examples of manifold Calabi - Yau diversity are shown and convergence domains of hypergeometric series presenting the periods of this diversity are calculated.

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A Semusheva

参考

  1. Berglund, P. Mirror symmetry for Calabi - Yau hypersurfaces in weighted and extensions of Landau - Ginzburg theory / P. Berglund, P. Candelas, X. de la Ossa et al // Nucl. Phys. Vol. B419. 1994. P. 352.
  2. Batyrev, V. V. Conifold transsition and mirror symmetry for Calabi - Yau complete intersection in Grassmanians / V. V. Batyrev, I. Ciocan-Tontanine, B. Kim, D. van Straten // Nucl. Phys. Vol. B514. 1998. № 3. P. 640-666.
  3. Пассаре, М. Кратные интегралы Меллина - Барнса как периоды многообразий Калаби - Яу с несколькими модулями / М. Пассаре, А. К. Цих, А. А. Чешель // Теорет. и математ. физика. 1996. Т. 109, № 3. C. 381-394.
  4. Batyrev, V. V. Variations of the mized Hodge structure of affine hypersurface in algebraic tori / V. V. Batyrev // Duke Math. J. Vol. 69. 1993. P. 349-409.

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