Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces

Susumu Tanabe; Kazushi Ueda

Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces

Classical Analysis and ODEs 2013-09-10 v2 Algebraic Geometry

Authors: Susumu Tanabe , Kazushi Ueda

Abstract

Let Y be a Calabi-Yau complete intersection in a weighted projective space. We show that the space of quadratic invariants of the hypergeometric group associated with the twisted I-function is one-dimensional, and spanned by the Gram matrix of a split-generator of the derived category of coherent sheaves on Y with respect to the Euler form.

Keywords

calabi-yau complete intersections weighted projective spaces hypergeometric groups quadratic invariants twisted i-function derived category euler form

Cite

@article{arxiv.1305.1659,
  title  = {Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces},
  author = {Susumu Tanabe and Kazushi Ueda},
  journal= {arXiv preprint arXiv:1305.1659},
  year   = {2013}
}

Comments

23 pages, 2 figures, v2: revised following referee's comments

Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces

Abstract

Keywords

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