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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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* Relation between affine and projective.David A. Madore2010-05-291-5/+92
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* Why the naïve graded ring of a projective variety is, precisely, naïve.David A. Madore2010-05-291-17/+68
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* A comment on irrelevant ideals.David A. Madore2010-05-251-0/+13
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* Corrections/additions noted during course on 2010-05-25.upload-20100525David A. Madore2010-05-251-2/+18
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* A very short paragraph to be extended: morphisms between projective spaces.David A. Madore2010-05-251-0/+9
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* Start projective varieties.David A. Madore2010-05-251-0/+28
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* Regular functions on projective space, and start introducing the canonical ↵David A. Madore2010-05-241-6/+60
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* Fix/improve points of projective space with values in a ring.David A. Madore2010-05-241-4/+29
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* Make notations more coherent in the projective section wrt the affine section.David A. Madore2010-05-241-44/+44
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* A projective Nullstellensatz.David A. Madore2010-05-241-2/+33
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* Projective space, homogeneous polynomials.upload-20100523David A. Madore2010-05-241-0/+112
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* Recapitulation of algebraic varieties.David A. Madore2010-05-231-1/+59
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* Quasi-affine varieties (this is becomming a mess...).David A. Madore2010-05-231-13/+116
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* Introduction to gluing.David A. Madore2010-05-231-6/+105
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* More TODO.David A. Madore2010-05-231-0/+4
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* Another example of morphisms: rotation on the circle.David A. Madore2010-05-231-0/+12
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* Corrections/additions noted during course on 2010-05-21.upload-20100521David A. Madore2010-05-211-9/+11
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* Presentation of localization inverting one element.David A. Madore2010-05-211-0/+29
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* Update TODO.David A. Madore2010-05-211-2/+2
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* More about principal open sets. Too complicated?David A. Madore2010-05-211-8/+50
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* Principal open sets and how to view them as affine varieties.upload-20100520David A. Madore2010-05-201-2/+107
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