Abstract
An abelian variety is a commutative algebraic group A on an irreducible projective variety. One notes that an algebraic group on an irreducible projective variety is always commutative. Abelian varieties and curves of genus g over a finite field F q are bound together in their study since the jacobian of the curve C is an abelian variety Jac(C) of dimension g over F q. In addition, Jac(C) is related to the divisor class group of the curve Pic 0 (C).
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© 2003 Springer Science+Business Media Dordrecht
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Hurt, N.E. (2003). Abelian Varieties. In: Many Rational Points. Mathematics and Its Applications, vol 564. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0251-5_1
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DOI: https://doi.org/10.1007/978-94-017-0251-5_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6496-7
Online ISBN: 978-94-017-0251-5
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