Abstract
We show how to take a canonical homology basis and a basis of the space of holomorphic $1$-forms on the curve $x^{m}+y^{n}=1$, and we show how to calculate its explicit period matrix.
Citation
Yasuo Kamata. "The algorithm to calculate the period matrix of the curve $x^{m}+y^{n}=1$." Tsukuba J. Math. 26 (1) 15 - 37, June 2002. https://doi.org/10.21099/tkbjm/1496164378
Information
Published: June 2002
First available in Project Euclid: 30 May 2017
zbMATH: 1016.32010
MathSciNet: MR1915974
Digital Object Identifier: 10.21099/tkbjm/1496164378
Rights: Copyright © 2002 University of Tsukuba, Institute of Mathematics