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Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

We recall the construction of moduli of abelian schemes. The theory of moduli varieties of abelian varieties has been studied mainly by Shimura and Mumford in the years 1950s to 1960s. Shimura proved the existence of the moduli varieties over a canonically determined number field relative to a given endomorphism ring, a level N-structure and a polarization in the late 1950s to the early 1960s. This gives a modulus over the integer ring of the field with a sufficiently large number of primes inverted.

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© 2004 Springer-Verlag New York, LLC

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Hida, H. (2004). Moduli Schemes. In: p-Adic Automorphic Forms on Shimura Varieties. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9390-0_6

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  • DOI: https://doi.org/10.1007/978-1-4684-9390-0_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1923-6

  • Online ISBN: 978-1-4684-9390-0

  • eBook Packages: Springer Book Archive

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