summaryrefslogtreecommitdiffstats
path: root/notes-geoalg.tex
Commit message (Collapse)AuthorAgeFilesLines
* 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 ↵upload-20100604David A. Madore2010-06-041-2/+152
| | | | definition of Gröbner bases.
* 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. Madore2010-06-011-3/+0
|
* Hilbert-Samuel polynomial.David A. Madore2010-06-011-0/+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 ↵David A. Madore2010-05-311-0/+3
| | | | context.
* Quasiprojective varieties. Morphisms thereof. One example.David A. Madore2010-05-301-1/+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. Madore2010-05-291-17/+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. Madore2010-05-251-0/+28
|
* Regular functions on projective space, and start introducing the canonical ↵David A. Madore2010-05-241-6/+60
| | | | sheaf.
* 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. Madore2010-05-241-0/+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
|
* Another example of morphisms: rotation on the circle.David A. Madore2010-05-231-0/+12
|
* Corrections/additions noted during course on 2010-05-21.upload-20100521David A. Madore2010-05-211-9/+11
|
* Presentation of localization inverting one element.David A. Madore2010-05-211-0/+29
|
* Update TODO.David A. Madore2010-05-211-2/+2
|
* More about principal open sets. Too complicated?David A. Madore2010-05-211-8/+50
|
* Principal open sets and how to view them as affine varieties.upload-20100520David A. Madore2010-05-201-2/+107
|
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-17 02:32:20 +0000