path: root/notes-accq205.tex
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* 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
* Fix lots of typos (thanks, "Pjetri").David A. Madore2016-03-161-14/+14
* Some typos and other minor errors.upload-20160307David A. Madore2016-03-071-7/+8
* Add disclaimer about provisional status of these notes.upload-20160305David A. Madore2016-03-051-0/+7
* Add a few remarks.David A. Madore2016-03-051-3/+16
* Zariski-closed sets, radical ideals, and the bijection between them.David A. Madore2016-03-051-6/+212
* Note example of Artin's theorem on automorphisms.David A. Madore2016-03-051-1/+24
* Various hopefully intuitive explanations of Galois theory.David A. Madore2016-03-051-0/+78
* Two theorems by E. Artin.David A. Madore2016-03-051-8/+84
* State and prove the weak and strong Nullstellensätze.David A. Madore2016-03-031-2/+70
* Noetherian rings, maximal ideals of polynomial rings, and the Zariski lemma.David A. Madore2016-03-031-17/+191
* Typo.David A. Madore2016-03-031-2/+2
* Zeros-in-extension for algebraically closed fields.David A. Madore2016-03-021-6/+49
* Separating transcendence bases over a perfect field (not mentioning the term).David A. Madore2016-03-021-18/+65