Algorithm for construction of volume forms on toric varieties starting from a convex integer polytope
- Авторлар: Kytmanov A.1, Shchuplev A.1, Zykova T.1
-
Мекемелер:
- Siberian Federal University
- Шығарылым: Том 42, № 2 (2016)
- Беттер: 99-106
- Бөлім: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176416
- DOI: https://doi.org/10.1134/S0361768816020055
- ID: 176416
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Kytmanov
Siberian Federal University
Хат алмасуға жауапты Автор.
Email: aakytm@gmail.com
Ресей, pr. Svobodnyi 79, Krasnoyarsk, 660041
A. Shchuplev
Siberian Federal University
Email: aakytm@gmail.com
Ресей, pr. Svobodnyi 79, Krasnoyarsk, 660041
T. Zykova
Siberian Federal University
Email: aakytm@gmail.com
Ресей, pr. Svobodnyi 79, Krasnoyarsk, 660041