Yayınlanmış 1 Ocak 2022
| Sürüm v1
Dergi makalesi
Açık
PERIOD INTEGRALS ASSOCIATED TO AN AFFINE DELSARTE TYPE HYPERSURFACE
Oluşturanlar
- 1. Galatasaray Univ, Dept Math, Ciragan Cad 36, TR-34357 Istanbul, Turkey
Açıklama
We calculate the period integrals for a special class of affine hypersurfaces (deformed Delsarte hypersurfaces) in an algebraic torus by the aid of their Mellin transforms. A description of the relation between poles of Mellin transforms of period integrals and the mixed Hodge structure of the cohomology of the hypersurface is given. By interpreting the period integrals as solutions to Pochhammer hypergeometric differential equation, we calculate concretely the irreducible monodromy group of period integrals that correspond to the compactification of the affine hypersurface in a complete simplicial toric variety. As an application of the equivalence between oscillating integral for Delsarte polynomial and quantum cohomology of a weighted projective space P-B, we establish an equality between its Stokes matrix and the Gram matrix of the full exceptional collection on P-B.
Dosyalar
bib-9c3636b5-e7be-4253-b4d8-a43af9187863.txt
Dosyalar
(132 Bytes)
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