path: root/notes-accq205.tex
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* Discuss (not necessarily algebraic) separable field extensions in a hopefully...David A. Madore2016-04-091-26/+84
* More small clarifications.David A. Madore2016-04-091-9/+19
* Start writing about Kähler differentials.upload-20160408David A. Madore2016-04-091-7/+95
* Introduce alternative notation "ord" for valuations.David A. Madore2016-04-081-14/+18
* Riemann-Roch spaces.David A. Madore2016-04-081-7/+95
* Record more precise statement proved in a lemma, for future use.David A. Madore2016-04-081-3/+9
* Picard group of the projective line.David A. Madore2016-04-081-9/+90
* Value group is Abelian: say so.upload-20160404David A. Madore2016-04-041-19/+19
* Various additions or clarifications after course on 2016-04-04.David A. Madore2016-04-041-60/+144
* Another equivalent condition to being a local ring.upload-20160403David A. Madore2016-04-031-14/+48
* Divisors on a curve.David A. Madore2016-04-031-4/+67
* Re-read and improve various parts.David A. Madore2016-04-031-57/+140
* The degree identity.upload-20160402David A. Madore2016-04-021-3/+89
* Infinitely many valuations. A lemma on dimensions.David A. Madore2016-04-021-8/+64
* Weak approximation.David A. Madore2016-04-021-1/+97
* More about valuations, more examples, and discuss closed points w.r.t. ration...David A. Madore2016-04-021-17/+100
* Places of the projective line.David A. Madore2016-04-011-16/+109
* Add a trivial remark.David A. Madore2016-04-011-0/+4
* Field of constants, and more about linear disjointness.David A. Madore2016-04-011-25/+151
* Existence of valuations, and link to integral closure.upload-20160331David A. Madore2016-03-311-10/+156
* Discrete valuation rings are principal, and whatnot.David A. Madore2016-03-311-5/+112
* Additional statement in the key lemma, on the degree of the residue field.David A. Madore2016-03-311-10/+37
* Microscopic changes to index.David A. Madore2016-03-301-3/+3
* Valuations on function fields of curves are discrete.upload-20160330David A. Madore2016-03-301-8/+52
* Slightly expand last arguments.David A. Madore2016-03-241-6/+7
* Valuations of a curve.David A. Madore2016-03-241-13/+105
* Valuation ring versus valuation function.David A. Madore2016-03-241-8/+66
* Valuations, discrete valuations.David A. Madore2016-03-231-1/+49
* Add more to index.David A. Madore2016-03-221-6/+6
* Add index.upload-20160322David A. Madore2016-03-221-90/+103
* Slightly expand remarks on irreductible polynomials vs. Galois orbits.David A. Madore2016-03-211-10/+24
* Remarks on the case of hypersurfaces.David A. Madore2016-03-211-0/+11
* Spello.David A. Madore2016-03-211-1/+1
* Prepare discussion of places.David A. Madore2016-03-211-0/+21
* Hyperref + table of contents.David A. Madore2016-03-211-0/+5
* Move and expand comment on the geometric meaning of separating trasncendence ...upload-20160318David A. Madore2016-03-181-10/+46
* More examples of coverings of curves (without saying the word yet).David A. Madore2016-03-181-9/+41
* Another example: the parabola.David A. Madore2016-03-181-8/+12
* Reinterpretation of linear disjointness from extension of scalars.David A. Madore2016-03-181-1/+39
* Extension of scalars (of vector spaces and algebras) from a field to an exten...David A. Madore2016-03-181-0/+192
* Irreducibility versus geometric irreducibility.David A. Madore2016-03-181-50/+116
* Drawing of the three standard rational curves.David A. Madore2016-03-181-7/+53
* Examples of singular curves.upload-20160317David A. Madore2016-03-171-0/+56
* Reducibility and irreducibility.David A. Madore2016-03-171-0/+53
* Note reducible curves.David A. Madore2016-03-171-1/+38
* Merge branch 'master' of A. Madore2016-03-171-8/+115
| * Rational points, rational parametrization of the circle.David A. Madore2016-03-171-8/+115
* | Two small additions/clarifications.David A. Madore2016-03-161-3/+9
* Definition of functions fields of curves.David A. Madore2016-03-161-4/+137
* Gauß lemma on irreducible polynomials.David A. Madore2016-03-161-1/+26