Abstract
The kernel of an isogeny of degree n of abelian varieties of dimension g is, at a place of good reduction, a finite flat group scheme of order n2g over the local ring of the place. That is perhaps the main reason for studying finite flat group schemes, although they are interesting enough in their own right, and it is in any case the reason a discussion of them appears in this volume. For that reason also, the commutative case is the most important for us, and it is in that case that the theory is most interesting and highly developed by far. Nevertheless we do not assume commutativity at the beginning and develop the basics of the theory without that assumption.
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Tate, J. (1997). Finite Flat Group Schemes. In: Cornell, G., Silverman, J.H., Stevens, G. (eds) Modular Forms and Fermat’s Last Theorem. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1974-3_5
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DOI: https://doi.org/10.1007/978-1-4612-1974-3_5
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