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ACCQ205 (courbes algébriques)
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notes-accq205.tex
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Age
Files
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*
Fix mistake in former version of notes.
David A. Madore
2018-02-10
1
-1
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+1
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Typo.
David A. Madore
2018-02-05
1
-1
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+1
*
Clarify proof that was typo-ridden and arguably incorrect.
David A. Madore
2017-04-17
1
-10
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+11
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Copy remark made later on (field of rational functions).
David A. Madore
2017-03-06
1
-0
/
+19
*
Copy exercises from last year's exam to course notes.
David A. Madore
2017-02-03
1
-1
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+541
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Write an erratum for a flawed argument.
upload-20160419
David A. Madore
2016-04-19
1
-18
/
+20
*
Spello in label name...
David A. Madore
2016-04-15
1
-3
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+3
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Add a footnote about the procedure just described.
David A. Madore
2016-04-15
1
-4
/
+8
*
Fix incorrect (or incomplete) reasoning about places over regular points.
David A. Madore
2016-04-15
1
-21
/
+60
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Add anchor for cross-referencing.
David A. Madore
2016-04-14
1
-1
/
+1
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Synchronize preamble.
David A. Madore
2016-04-13
1
-1
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+12
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Various typos (thanks, "Pjetri").
David A. Madore
2016-04-13
1
-8
/
+8
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Something about extensions of scalars.
printed-2016
David A. Madore
2016-04-12
1
-6
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+74
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Prepare for printing. Improve index.
upload-20160412-maybefinal
David A. Madore
2016-04-12
1
-15
/
+9
*
Various additions or clarifications after course on 2016-04-11.
upload-20160411
David A. Madore
2016-04-11
1
-21
/
+35
*
Try to clarify correspondence between points and places.
upload-20160410
David A. Madore
2016-04-10
1
-57
/
+145
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Connections between places and points (unfinished).
David A. Madore
2016-04-10
1
-4
/
+34
*
Obtaining points from places.
David A. Madore
2016-04-10
1
-0
/
+83
*
Coverings of curves (very basic facts).
David A. Madore
2016-04-10
1
-14
/
+205
*
Provide at least some references for statements with missing proofs.
David A. Madore
2016-04-10
1
-16
/
+54
*
The Riemann-Roch theorem.
David A. Madore
2016-04-10
1
-3
/
+102
*
Reread and hopefully improve various bits.
upload-20160409
David A. Madore
2016-04-10
1
-83
/
+105
*
Continue fixing the mess about differentials.
David A. Madore
2016-04-09
1
-55
/
+70
*
Start reworking the section on differentials (various mistakes still to be fi...
David A. Madore
2016-04-09
1
-82
/
+132
*
Orders of differentials.
David A. Madore
2016-04-09
1
-23
/
+174
*
Discuss (not necessarily algebraic) separable field extensions in a hopefully...
David A. Madore
2016-04-09
1
-26
/
+84
*
More small clarifications.
David A. Madore
2016-04-09
1
-9
/
+19
*
Start writing about Kähler differentials.
upload-20160408
David A. Madore
2016-04-09
1
-7
/
+95
*
Introduce alternative notation "ord" for valuations.
David A. Madore
2016-04-08
1
-14
/
+18
*
Riemann-Roch spaces.
David A. Madore
2016-04-08
1
-7
/
+95
*
Record more precise statement proved in a lemma, for future use.
David A. Madore
2016-04-08
1
-3
/
+9
*
Picard group of the projective line.
David A. Madore
2016-04-08
1
-9
/
+90
*
Value group is Abelian: say so.
upload-20160404
David A. Madore
2016-04-04
1
-19
/
+19
*
Various additions or clarifications after course on 2016-04-04.
David A. Madore
2016-04-04
1
-60
/
+144
*
Another equivalent condition to being a local ring.
upload-20160403
David A. Madore
2016-04-03
1
-14
/
+48
*
Divisors on a curve.
David A. Madore
2016-04-03
1
-4
/
+67
*
Re-read and improve various parts.
David A. Madore
2016-04-03
1
-57
/
+140
*
The degree identity.
upload-20160402
David A. Madore
2016-04-02
1
-3
/
+89
*
Infinitely many valuations. A lemma on dimensions.
David A. Madore
2016-04-02
1
-8
/
+64
*
Weak approximation.
David A. Madore
2016-04-02
1
-1
/
+97
*
More about valuations, more examples, and discuss closed points w.r.t. ration...
David A. Madore
2016-04-02
1
-17
/
+100
*
Places of the projective line.
David A. Madore
2016-04-01
1
-16
/
+109
*
Add a trivial remark.
David A. Madore
2016-04-01
1
-0
/
+4
*
Field of constants, and more about linear disjointness.
David A. Madore
2016-04-01
1
-25
/
+151
*
Existence of valuations, and link to integral closure.
upload-20160331
David A. Madore
2016-03-31
1
-10
/
+156
*
Discrete valuation rings are principal, and whatnot.
David A. Madore
2016-03-31
1
-5
/
+112
*
Additional statement in the key lemma, on the degree of the residue field.
David A. Madore
2016-03-31
1
-10
/
+37
*
Microscopic changes to index.
David A. Madore
2016-03-30
1
-3
/
+3
*
Valuations on function fields of curves are discrete.
upload-20160330
David A. Madore
2016-03-30
1
-8
/
+52
*
Slightly expand last arguments.
David A. Madore
2016-03-24
1
-6
/
+7
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