On the monotonicity of the quotient of certain abelian integrals
We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals.
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000043 |
| Summary: | We prove that the quotient of abelian integrals associated to an elliptic surface
is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the
abelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals. |
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| ISSN: | 0161-1712 1687-0425 |