Tag Archives: Mumford

Polymath Proposal: 4-folds of Mumford’s type

Let A/K be an abelian variety of dimension g over a number field. If g \not\equiv 0 \bmod 4 and \mathrm{End}(A/\mathbf{C}) = \mathbf{Z}, then Serre proved that the Galois representations associated to A have open image in \mathrm{GSp}_{2g}(\mathbf{Z}_p). The result … Continue reading

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Correspondance Serre-Tate, Part I

Reading the correspondence between Serre and Tate has been as delightful as one could expect. What is very nice to see — although perhaps not so surprising — is the utter delight that both Serre and Tate find in discussing … Continue reading

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