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Why no abelian varieties over Z?
@Bjorn. Then how did it so happen that this theorem is known in the name of Fontaine alone? Perhaps, in the context of the "big picture" of Fontaine theory?
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What proof of quadratic reciprocity is Hilbert referring to in this quote?
Where did you find this? That will be helpful in understanding the context.
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Is there any rational curve on an Abelian variety?
This should work over any field contained in $\mathbb C$.
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Is there any rational curve on an Abelian variety?
Fabulous answer. Could you please provide some reference in which the Albanese and Picard functorialities of Jacobian are compared with rigor and full proof?
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Preschemes and schemes
Perhaps, this is a soft question?
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Existence of fine moduli space for curves and elliptic curves
So this is another example of a moduli problem having no fine solution because of existence of automorphims. ..
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Existence of fine moduli space for curves and elliptic curves
Thanks, this was useful. However a solution to the scheme situation also will be appreciated(perhaps from the next person).
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Existence of fine moduli space for curves and elliptic curves
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Existence of fine moduli space for curves and elliptic curves
Yes, of course. Thanks for pointing out. I have added.
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Continuation up to zero of a Dirichlet series with bounded coefficients
But before applying the functional equation you have to continue it a little bit!
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Continuation up to zero of a Dirichlet series with bounded coefficients
@Pete. Then how do you establish continuation of the Dedekind zeta function up to zero?
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