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* Notational clarifications + conditions for Picard group to be given by ↵David A. Madore2012-06-131-32/+44
| | | | Galois invariants.
* Fix various small mistakes across all versions.David A. Madore2012-06-133-12/+12
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* Fix stupid thinko (quantified wrong variable) on all versions.David A. Madore2012-06-113-6/+6
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* More on the projective Nullstellensatz, and the Hilbert-Samuel function.upload-20120503David A. Madore2012-05-031-2/+77
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* Notes for 2012: mostly those of 2011, but some bits re-imported from 2010.David A. Madore2012-05-031-0/+3611
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* Clarify these statement (thanks to Faré for pointing this out).upload-20110611David A. Madore2011-06-111-1/+1
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* Small changes noted during course on 2011-05-20.David A. Madore2011-06-111-7/+4
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* Note on composing diffentials.upload-20110512David A. Madore2011-05-121-0/+3
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* Curves (essentially copied from 2010 notes).David A. Madore2011-05-121-1/+942
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* Various corrections and clarifications.David A. Madore2011-05-121-15/+15
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* Differential and smoothness of morphisms.David A. Madore2011-05-121-1/+43
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* Some fundamental results in algebraic geometry.David A. Madore2011-05-121-5/+285
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* Algebraic geometry over a nonclosed field.David A. Madore2011-05-111-0/+229
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* Projective and quasiprojective varieties.David A. Madore2011-05-111-17/+202
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* Merge branch 'master' of git.madore.org:teach/mdi349David A. Madore2011-05-111-2/+2
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| * Merge branch 'master' into HEADDavid A. Madore2011-05-112-0/+1284
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| * | Corrections noted during course on 2011-05-10 (backported to 2010 handout).David A. Madore2011-05-111-2/+2
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* | | Corrections noted during course on 2011-05-10.David A. Madore2011-05-111-3/+3
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* | Projective space (start).David A. Madore2011-05-101-0/+157
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* | The Zariski topology, morphisms between quasi-affine varieties.David A. Madore2011-05-091-2/+258
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* | More about morphisms.David A. Madore2011-05-091-8/+96
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* | Affine algebraic varieties over algebraically closed fields, morphisms.David A. Madore2011-05-051-2/+427
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* | Notes for 2011: prolegomena in commutative algebra (simplified).David A. Madore2011-05-051-0/+358
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* | Rename handout to make room for this year's.David A. Madore2011-05-051-0/+0
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* Fix the end, using normalization.David A. Madore2010-06-191-9/+118
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* Start writing answers.David A. Madore2010-06-171-10/+155
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* First attempt at writing a test.David A. Madore2010-06-171-0/+150
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* Another correction noted during course on 2010-06-11.upload-20100611David A. Madore2010-06-111-3/+4
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* Fix arithmetic brokenness in various places.David A. Madore2010-06-111-6/+38
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* Various tiny bits and remarks.upload-20100610David A. Madore2010-06-111-3/+10
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* Compute the canonical class of an elliptic curve. Show that a curve of ↵David A. Madore2010-06-111-2/+37
| | | | genus 0 is P^1.
* Riemann-Roch.David A. Madore2010-06-111-10/+133
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* Differentials, divisor classes of differentials, and the canonical class.David A. Madore2010-06-101-0/+100
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* Divisors and the Picard group.David A. Madore2010-06-101-2/+103
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* Principal divisors have degree zero.David A. Madore2010-06-101-8/+49
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* Try to clarify the distinction between geometric points and closed points.David A. Madore2010-06-101-4/+30
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* Sum of ramification indices is the degree.David A. Madore2010-06-101-0/+39
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* An approximation result.David A. Madore2010-06-101-3/+58
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* Ramification of a morphism (start section).upload-20100609David A. Madore2010-06-101-0/+22
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* Morphisms between curves.David A. Madore2010-06-101-30/+169
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* Start a section about curves.David A. Madore2010-06-091-7/+239
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* Change all internal labels (give them names in English).David A. Madore2010-06-091-34/+33
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* Corrections/additions noted during course on 2010-06-07.upload-20100607David A. Madore2010-06-071-21/+29
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* A remark on elimination orders.David A. Madore2010-06-061-0/+8
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* Gröbner bases and elimination.upload-20100606David A. Madore2010-06-061-1/+23
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* Reduced Gröbner bases.David A. Madore2010-06-061-0/+28
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* Buchberger's algorithm.David A. Madore2010-06-061-8/+156
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* Important monomial orders (lex, glex and grevlex).David A. Madore2010-06-061-0/+67
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* Start section on Gröbner bases: monomial ideals, admissible orders, and ↵upload-20100604David A. Madore2010-06-041-2/+152
| | | | definition of Gröbner bases.
* Differential and smoothness of morphisms.David A. Madore2010-06-041-0/+37
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