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MDI349 (géométrie algébrique)
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Fix stupid thinko (quantified wrong variable) on all versions.
David A. Madore
2012-06-11
3
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+6
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More on the projective Nullstellensatz, and the Hilbert-Samuel function.
upload-20120503
David A. Madore
2012-05-03
1
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+77
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Notes for 2012: mostly those of 2011, but some bits re-imported from 2010.
David A. Madore
2012-05-03
1
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+3611
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Clarify these statement (thanks to Faré for pointing this out).
upload-20110611
David A. Madore
2011-06-11
1
-1
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+1
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Small changes noted during course on 2011-05-20.
David A. Madore
2011-06-11
1
-7
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+4
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Note on composing diffentials.
upload-20110512
David A. Madore
2011-05-12
1
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+3
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Curves (essentially copied from 2010 notes).
David A. Madore
2011-05-12
1
-1
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+942
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Various corrections and clarifications.
David A. Madore
2011-05-12
1
-15
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+15
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Differential and smoothness of morphisms.
David A. Madore
2011-05-12
1
-1
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+43
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Some fundamental results in algebraic geometry.
David A. Madore
2011-05-12
1
-5
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+285
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Algebraic geometry over a nonclosed field.
David A. Madore
2011-05-11
1
-0
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+229
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Projective and quasiprojective varieties.
David A. Madore
2011-05-11
1
-17
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+202
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Merge branch 'master' of git.madore.org:teach/mdi349
David A. Madore
2011-05-11
1
-2
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+2
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Merge branch 'master' into HEAD
David A. Madore
2011-05-11
2
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+1284
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Corrections noted during course on 2011-05-10 (backported to 2010 handout).
David A. Madore
2011-05-11
1
-2
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+2
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Corrections noted during course on 2011-05-10.
David A. Madore
2011-05-11
1
-3
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+3
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Projective space (start).
David A. Madore
2011-05-10
1
-0
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+157
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The Zariski topology, morphisms between quasi-affine varieties.
David A. Madore
2011-05-09
1
-2
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+258
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More about morphisms.
David A. Madore
2011-05-09
1
-8
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+96
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Affine algebraic varieties over algebraically closed fields, morphisms.
David A. Madore
2011-05-05
1
-2
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+427
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Notes for 2011: prolegomena in commutative algebra (simplified).
David A. Madore
2011-05-05
1
-0
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+358
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Rename handout to make room for this year's.
David A. Madore
2011-05-05
1
-0
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+0
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Fix the end, using normalization.
David A. Madore
2010-06-19
1
-9
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+118
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Start writing answers.
David A. Madore
2010-06-17
1
-10
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+155
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First attempt at writing a test.
David A. Madore
2010-06-17
1
-0
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+150
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Another correction noted during course on 2010-06-11.
upload-20100611
David A. Madore
2010-06-11
1
-3
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+4
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Fix arithmetic brokenness in various places.
David A. Madore
2010-06-11
1
-6
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+38
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Various tiny bits and remarks.
upload-20100610
David A. Madore
2010-06-11
1
-3
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+10
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Compute the canonical class of an elliptic curve. Show that a curve of ↵
David A. Madore
2010-06-11
1
-2
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+37
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genus 0 is P^1.
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Riemann-Roch.
David A. Madore
2010-06-11
1
-10
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+133
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Differentials, divisor classes of differentials, and the canonical class.
David A. Madore
2010-06-10
1
-0
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+100
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Divisors and the Picard group.
David A. Madore
2010-06-10
1
-2
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+103
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Principal divisors have degree zero.
David A. Madore
2010-06-10
1
-8
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+49
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Try to clarify the distinction between geometric points and closed points.
David A. Madore
2010-06-10
1
-4
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+30
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Sum of ramification indices is the degree.
David A. Madore
2010-06-10
1
-0
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+39
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An approximation result.
David A. Madore
2010-06-10
1
-3
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+58
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Ramification of a morphism (start section).
upload-20100609
David A. Madore
2010-06-10
1
-0
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+22
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Morphisms between curves.
David A. Madore
2010-06-10
1
-30
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+169
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Start a section about curves.
David A. Madore
2010-06-09
1
-7
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+239
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Change all internal labels (give them names in English).
David A. Madore
2010-06-09
1
-34
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+33
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Corrections/additions noted during course on 2010-06-07.
upload-20100607
David A. Madore
2010-06-07
1
-21
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+29
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A remark on elimination orders.
David A. Madore
2010-06-06
1
-0
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+8
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Gröbner bases and elimination.
upload-20100606
David A. Madore
2010-06-06
1
-1
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+23
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Reduced Gröbner bases.
David A. Madore
2010-06-06
1
-0
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+28
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Buchberger's algorithm.
David A. Madore
2010-06-06
1
-8
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+156
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Important monomial orders (lex, glex and grevlex).
David A. Madore
2010-06-06
1
-0
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+67
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Start section on Gröbner bases: monomial ideals, admissible orders, and ↵
upload-20100604
David A. Madore
2010-06-04
1
-2
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+152
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definition of Gröbner bases.
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Differential and smoothness of morphisms.
David A. Madore
2010-06-04
1
-0
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+37
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An ugly and unpleasant note about "yeah, we could be using schemes here".
David A. Madore
2010-06-04
1
-2
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+33
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Some more explanations on the rational cubic in P^3.
David A. Madore
2010-06-04
1
-1
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+60
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