Algorithm for construction of volume forms on toric varieties starting from a convex integer polytope
- 46 Downloads
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.
KeywordsProjective Space Volume Form Toric Variety Cauchy Kernel Empty List
Unable to display preview. Download preview PDF.
- 3.Fulton, W., Introduction to Toric Varieties: Annals of Mathematics Studies, Princeton: Princeton Univ. Press, 1993.Google Scholar