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The ring of algebraic correspondences on a generic curve of genus g

Published online by Cambridge University Press:  22 January 2016

Yoshiaki Ikeda
Affiliation:
Tokyo University of Education
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Extract

0. Let p be a prime number or zero and let g be a non-negative integer. Then there is a coarse moduli space Mg for complete non-singular irreducible curves of genus g defined over fields of characteristic p, which is an irreducible variety over the algebraic closure p of the prime field Fp. (Especially, F0 is also denoted by Q as usual.) ([8], [2]). The curve corresponding to a generic point of Mg over p is called a generic curve of genus g.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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