Algorithm for construction of volume forms on toric varieties starting from a convex integer polytope
- Authors: Kytmanov A.A.1, Shchuplev A.V.1, Zykova T.V.1
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Affiliations:
- Siberian Federal University
- Issue: Vol 42, No 2 (2016)
- Pages: 99-106
- Section: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176416
- DOI: https://doi.org/10.1134/S0361768816020055
- ID: 176416
Cite item
Abstract
This paper presents a method and a corresponding algorithm for constructing volume forms (and related forms that act as kernels of integral representations) on toric varieties from a convex integer polytope. The algorithm is implemented in the Maple computer algebra system. The constructed volume forms are similar to the volume forms of the Fubini–Study metric on a complex projective space and can be used for constructing integral representations of holomorphic functions in polycircular regions of a multidimensional complex space.
Keywords
About the authors
A. A. Kytmanov
Siberian Federal University
Author for correspondence.
Email: aakytm@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041
A. V. Shchuplev
Siberian Federal University
Email: aakytm@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041
T. V. Zykova
Siberian Federal University
Email: aakytm@gmail.com
Russian Federation, pr. Svobodnyi 79, Krasnoyarsk, 660041