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* Sum of ramification indices is the degree.David A. Madore2010-06-101-0/+39
* An approximation result.David A. Madore2010-06-101-3/+58
* Ramification of a morphism (start section).upload-20100609David A. Madore2010-06-101-0/+22
* Morphisms between curves.David A. Madore2010-06-101-30/+169
* Start a section about curves.David A. Madore2010-06-091-7/+239
* Change all internal labels (give them names in English).David A. Madore2010-06-091-34/+33
* Corrections/additions noted during course on 2010-06-07.upload-20100607David A. Madore2010-06-071-21/+29
* A remark on elimination orders.David A. Madore2010-06-061-0/+8
* Gröbner bases and elimination.upload-20100606David A. Madore2010-06-061-1/+23
* Reduced Gröbner bases.David A. Madore2010-06-061-0/+28
* Buchberger's algorithm.David A. Madore2010-06-061-8/+156
* Important monomial orders (lex, glex and grevlex).David A. Madore2010-06-061-0/+67
* Start section on Gröbner bases: monomial ideals, admissible orders, and defi...upload-20100604David A. Madore2010-06-041-2/+152
* Differential and smoothness of morphisms.David A. Madore2010-06-041-0/+37
* An ugly and unpleasant note about "yeah, we could be using schemes here".David A. Madore2010-06-041-2/+33
* Some more explanations on the rational cubic in P^3.David A. Madore2010-06-041-1/+60
* More corrections/additions noted during course on 2010-06-04.David A. Madore2010-06-041-9/+33
* Corrections/additions noted during course on 2010-06-04.David A. Madore2010-06-041-6/+36
* Tangent space and smoothness.upload-20100603David A. Madore2010-06-031-3/+125
* Image of a morphism, continued.David A. Madore2010-06-031-0/+5
* Image of a morphism of quasiprojective varieties.David A. Madore2010-06-031-0/+30
* Warning on irreducible versus absolutely irreducible.David A. Madore2010-06-031-0/+17
* Morphisms between varieties on a nonclosed field.David A. Madore2010-06-031-13/+63
* Crash-course in Galois theory, varieties over a nonclosed field.David A. Madore2010-06-031-3/+148
* Introduction to dimension theory.upload-20100601David A. Madore2010-06-011-0/+67
* A stupidly simple example of a morphism from an open variety.David A. Madore2010-06-011-0/+6
* Products of varieties, and the Segre embedding.David A. Madore2010-06-011-2/+62
* Note morphisms from projective to affine are constant.David A. Madore2010-06-011-0/+9
* Purge TODO.David A. Madore2010-05-311-3/+0
* Hilbert-Samuel polynomial.David A. Madore2010-05-311-0/+45
* Another example. Details are sketchy.David A. Madore2010-05-311-0/+22
* Argue that the two morphisms defined in the examples are inverse to one another.David A. Madore2010-05-311-4/+16
* Tedious global description of morphisms of quasiprojective varieties.David A. Madore2010-05-311-0/+35
* Remark prime ideals <-> irreductible closed sets also works in projective con...David A. Madore2010-05-311-0/+3
* Quasiprojective varieties. Morphisms thereof. One example.David A. Madore2010-05-291-1/+68
* Relation between affine and projective.David A. Madore2010-05-291-5/+92
* Why the naïve graded ring of a projective variety is, precisely, naïve.David A. Madore2010-05-281-17/+68
* A comment on irrelevant ideals.David A. Madore2010-05-251-0/+13
* Corrections/additions noted during course on 2010-05-25.upload-20100525David A. Madore2010-05-251-2/+18
* A very short paragraph to be extended: morphisms between projective spaces.David A. Madore2010-05-251-0/+9
* Start projective varieties.David A. Madore2010-05-241-0/+28
* Regular functions on projective space, and start introducing the canonical sh...David A. Madore2010-05-241-6/+60
* Fix/improve points of projective space with values in a ring.David A. Madore2010-05-241-4/+29
* Make notations more coherent in the projective section wrt the affine section.David A. Madore2010-05-241-44/+44
* A projective Nullstellensatz.David A. Madore2010-05-241-2/+33
* Projective space, homogeneous polynomials.upload-20100523David A. Madore2010-05-231-0/+112
* Recapitulation of algebraic varieties.David A. Madore2010-05-231-1/+59
* Quasi-affine varieties (this is becomming a mess...).David A. Madore2010-05-231-13/+116
* Introduction to gluing.David A. Madore2010-05-231-6/+105
* More TODO.David A. Madore2010-05-231-0/+4