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ACCQ205 (courbes algébriques)
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Try to clarify correspondence between points and places.
upload-20160410
David A. Madore
2016-04-10
1
-57
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+145
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Connections between places and points (unfinished).
David A. Madore
2016-04-10
1
-4
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+34
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Obtaining points from places.
David A. Madore
2016-04-10
1
-0
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+83
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Coverings of curves (very basic facts).
David A. Madore
2016-04-10
1
-14
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+205
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Provide at least some references for statements with missing proofs.
David A. Madore
2016-04-10
1
-16
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+54
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The Riemann-Roch theorem.
David A. Madore
2016-04-10
1
-3
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+102
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Reread and hopefully improve various bits.
upload-20160409
David A. Madore
2016-04-10
1
-83
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+105
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Continue fixing the mess about differentials.
David A. Madore
2016-04-09
1
-55
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+70
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Start reworking the section on differentials (various mistakes still to be ↵
David A. Madore
2016-04-09
1
-82
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+132
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fixed).
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Orders of differentials.
David A. Madore
2016-04-09
1
-23
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+174
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Further modification made necessary by previous edit.
David A. Madore
2016-04-09
1
-2
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+2
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Fix mistake in old notes.
David A. Madore
2016-04-09
1
-2
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+4
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Discuss (not necessarily algebraic) separable field extensions in a ↵
David A. Madore
2016-04-09
1
-26
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+84
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hopefully clearer way.
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More small clarifications.
David A. Madore
2016-04-09
1
-9
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+19
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Start writing about Kähler differentials.
upload-20160408
David A. Madore
2016-04-09
1
-7
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+95
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Introduce alternative notation "ord" for valuations.
David A. Madore
2016-04-08
1
-14
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+18
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Riemann-Roch spaces.
David A. Madore
2016-04-08
1
-7
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+95
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Record more precise statement proved in a lemma, for future use.
David A. Madore
2016-04-08
1
-3
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+9
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Picard group of the projective line.
David A. Madore
2016-04-08
1
-9
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+90
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Value group is Abelian: say so.
upload-20160404
David A. Madore
2016-04-04
1
-19
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+19
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Various additions or clarifications after course on 2016-04-04.
David A. Madore
2016-04-04
1
-60
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+144
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Another equivalent condition to being a local ring.
upload-20160403
David A. Madore
2016-04-03
1
-14
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+48
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Divisors on a curve.
David A. Madore
2016-04-03
1
-4
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+67
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Re-read and improve various parts.
David A. Madore
2016-04-03
1
-57
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+140
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The degree identity.
upload-20160402
David A. Madore
2016-04-02
1
-3
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+89
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Infinitely many valuations. A lemma on dimensions.
David A. Madore
2016-04-02
1
-8
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+64
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Weak approximation.
David A. Madore
2016-04-02
1
-1
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+97
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More about valuations, more examples, and discuss closed points w.r.t. ↵
David A. Madore
2016-04-02
1
-17
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+100
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rational/geometric points.
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Places of the projective line.
David A. Madore
2016-04-01
1
-16
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+109
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Add a trivial remark.
David A. Madore
2016-04-01
1
-0
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+4
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Field of constants, and more about linear disjointness.
David A. Madore
2016-04-01
1
-25
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+151
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Note renumbering in §1.4 (on linear disjointness).
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Existence of valuations, and link to integral closure.
upload-20160331
David A. Madore
2016-03-31
1
-10
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+156
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Discrete valuation rings are principal, and whatnot.
David A. Madore
2016-03-31
1
-5
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+112
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Additional statement in the key lemma, on the degree of the residue field.
David A. Madore
2016-03-31
1
-10
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+37
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Microscopic changes to index.
David A. Madore
2016-03-30
1
-3
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+3
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Valuations on function fields of curves are discrete.
upload-20160330
David A. Madore
2016-03-30
1
-8
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+52
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Slightly expand last arguments.
David A. Madore
2016-03-24
1
-6
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+7
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Valuations of a curve.
David A. Madore
2016-03-24
1
-13
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+105
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Valuation ring versus valuation function.
David A. Madore
2016-03-24
1
-8
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+66
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Valuations, discrete valuations.
David A. Madore
2016-03-23
1
-1
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+49
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Add more to index.
David A. Madore
2016-03-22
1
-6
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+6
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Add index.
upload-20160322
David A. Madore
2016-03-22
1
-90
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+103
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Slightly expand remarks on irreductible polynomials vs. Galois orbits.
David A. Madore
2016-03-21
1
-10
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+24
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Remarks on the case of hypersurfaces.
David A. Madore
2016-03-21
1
-0
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+11
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Spello.
David A. Madore
2016-03-21
1
-1
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+1
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Prepare discussion of places.
David A. Madore
2016-03-21
1
-0
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+21
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Hyperref + table of contents.
David A. Madore
2016-03-21
1
-0
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+5
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Move and expand comment on the geometric meaning of separating trasncendence ↵
upload-20160318
David A. Madore
2016-03-18
1
-10
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+46
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bases.
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More examples of coverings of curves (without saying the word yet).
David A. Madore
2016-03-18
1
-9
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+41
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Another example: the parabola.
David A. Madore
2016-03-18
1
-8
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+12
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