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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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* An ugly and unpleasant note about "yeah, we could be using schemes here".David A. Madore2010-06-041-2/+33
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* Some more explanations on the rational cubic in P^3.David A. Madore2010-06-041-1/+60
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* More corrections/additions noted during course on 2010-06-04.David A. Madore2010-06-041-9/+33
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* Corrections/additions noted during course on 2010-06-04.David A. Madore2010-06-041-6/+36
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* Tangent space and smoothness.upload-20100603David A. Madore2010-06-031-3/+125
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* Image of a morphism, continued.David A. Madore2010-06-031-0/+5
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* Image of a morphism of quasiprojective varieties.David A. Madore2010-06-031-0/+30
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* Warning on irreducible versus absolutely irreducible.David A. Madore2010-06-031-0/+17
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* Morphisms between varieties on a nonclosed field.David A. Madore2010-06-031-13/+63
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* Crash-course in Galois theory, varieties over a nonclosed field.David A. Madore2010-06-031-3/+148
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* Introduction to dimension theory.upload-20100601David A. Madore2010-06-011-0/+67
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* A stupidly simple example of a morphism from an open variety.David A. Madore2010-06-011-0/+6
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* Products of varieties, and the Segre embedding.David A. Madore2010-06-011-2/+62
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* Note morphisms from projective to affine are constant.David A. Madore2010-06-011-0/+9
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* Purge TODO.David A. Madore2010-06-011-3/+0
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* Hilbert-Samuel polynomial.David A. Madore2010-06-011-0/+45
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* Another example. Details are sketchy.David A. Madore2010-05-311-0/+22
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* Argue that the two morphisms defined in the examples are inverse to one another.David A. Madore2010-05-311-4/+16
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* Tedious global description of morphisms of quasiprojective varieties.David A. Madore2010-05-311-0/+35
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* Remark prime ideals <-> irreductible closed sets also works in projective ↵David A. Madore2010-05-311-0/+3
| | | | context.
* Quasiprojective varieties. Morphisms thereof. One example.David A. Madore2010-05-301-1/+68
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