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function field
See global field.
function field
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2021-05-04
Filter by codimension, then obstructions to extending over higher codimension things is measured by cohomology of the Unsorted/function field :
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2021-05-01
One can ask a similar question about \(\operatorname{Cl} (K)\) for \(G\in {\mathsf{Ab}}\), or replacing \({\mathbf{Q}}\) with Unsorted/function field \({ \mathbf{F} }_q(t)\) for \(q=p^n\), and ask questions about frequency of primes ramified primes, split primes, or remaining inert primes.
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2021-04-25
Bounding ranks of curves over a function field: see elliptic fibrations
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curves
Unsorted/function field : the local ring \(K(X) \coloneqq{\mathcal{O}}_{X, \tilde x}\) for \(\tilde x\) the generic point.
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absolute value
valuation ring of the adic completion of a rational Unsorted/function field over \(K = { \mathbf{F} }_q\):
