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* Continue fixing the mess about differentials.David A. Madore2016-04-091-55/+70
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* Start reworking the section on differentials (various mistakes still to be ↵David A. Madore2016-04-091-82/+132
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* Orders of differentials.David A. Madore2016-04-091-23/+174
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* Further modification made necessary by previous edit.David A. Madore2016-04-091-2/+2
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* Fix mistake in old notes.David A. Madore2016-04-091-2/+4
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* Discuss (not necessarily algebraic) separable field extensions in a ↵David A. Madore2016-04-091-26/+84
| | | | hopefully clearer way.
* More small clarifications.David A. Madore2016-04-091-9/+19
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* Start writing about Kähler differentials.upload-20160408David A. Madore2016-04-091-7/+95
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* Introduce alternative notation "ord" for valuations.David A. Madore2016-04-081-14/+18
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* Riemann-Roch spaces.David A. Madore2016-04-081-7/+95
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* Record more precise statement proved in a lemma, for future use.David A. Madore2016-04-081-3/+9
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* Picard group of the projective line.David A. Madore2016-04-081-9/+90
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* Value group is Abelian: say so.upload-20160404David A. Madore2016-04-041-19/+19
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* Various additions or clarifications after course on 2016-04-04.David A. Madore2016-04-041-60/+144
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* Another equivalent condition to being a local ring.upload-20160403David A. Madore2016-04-031-14/+48
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* Divisors on a curve.David A. Madore2016-04-031-4/+67
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* Re-read and improve various parts.David A. Madore2016-04-031-57/+140
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* The degree identity.upload-20160402David A. Madore2016-04-021-3/+89
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* Infinitely many valuations. A lemma on dimensions.David A. Madore2016-04-021-8/+64
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* Weak approximation.David A. Madore2016-04-021-1/+97
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* More about valuations, more examples, and discuss closed points w.r.t. ↵David A. Madore2016-04-021-17/+100
| | | | rational/geometric points.
* Places of the projective line.David A. Madore2016-04-011-16/+109
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* Add a trivial remark.David A. Madore2016-04-011-0/+4
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* Field of constants, and more about linear disjointness.David A. Madore2016-04-011-25/+151
| | | | Note renumbering in §1.4 (on linear disjointness).
* Existence of valuations, and link to integral closure.upload-20160331David A. Madore2016-03-311-10/+156
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* Discrete valuation rings are principal, and whatnot.David A. Madore2016-03-311-5/+112
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* Additional statement in the key lemma, on the degree of the residue field.David A. Madore2016-03-311-10/+37
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* Microscopic changes to index.David A. Madore2016-03-301-3/+3
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* Valuations on function fields of curves are discrete.upload-20160330David A. Madore2016-03-301-8/+52
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* Slightly expand last arguments.David A. Madore2016-03-241-6/+7
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* Valuations of a curve.David A. Madore2016-03-241-13/+105
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* Valuation ring versus valuation function.David A. Madore2016-03-241-8/+66
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* Valuations, discrete valuations.David A. Madore2016-03-231-1/+49
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* Add more to index.David A. Madore2016-03-221-6/+6
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* Add index.upload-20160322David A. Madore2016-03-221-90/+103
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* Slightly expand remarks on irreductible polynomials vs. Galois orbits.David A. Madore2016-03-211-10/+24
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* Remarks on the case of hypersurfaces.David A. Madore2016-03-211-0/+11
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* Spello.David A. Madore2016-03-211-1/+1
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* Prepare discussion of places.David A. Madore2016-03-211-0/+21
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* Hyperref + table of contents.David A. Madore2016-03-211-0/+5
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* Move and expand comment on the geometric meaning of separating trasncendence ↵upload-20160318David A. Madore2016-03-181-10/+46
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* More examples of coverings of curves (without saying the word yet).David A. Madore2016-03-181-9/+41
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* Another example: the parabola.David A. Madore2016-03-181-8/+12
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* Reinterpretation of linear disjointness from extension of scalars.David A. Madore2016-03-181-1/+39
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* Extension of scalars (of vector spaces and algebras) from a field to an ↵David A. Madore2016-03-181-0/+192
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* Irreducibility versus geometric irreducibility.David A. Madore2016-03-181-50/+116
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* Drawing of the three standard rational curves.David A. Madore2016-03-181-7/+53
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* Examples of singular curves.upload-20160317David A. Madore2016-03-171-0/+56
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* Reducibility and irreducibility.David A. Madore2016-03-171-0/+53
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* Note reducible curves.David A. Madore2016-03-171-1/+38
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