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* 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 con...David A. Madore2010-05-311-0/+3
* 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 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. Madore2010-05-241-0/+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
* Abstract (affine) algebraic varieties, and the Spec of an algebra.David A. Madore2010-05-201-1/+62
* Connexity. Connected and irreductible components.David A. Madore2010-05-201-1/+102
* The Zariski topology.David A. Madore2010-05-201-6/+104
* More clarifications on morphisms, closed immersions, restrictions...David A. Madore2010-05-201-16/+61
* Use [T1]{fontenc} for correct hyphenation (wtf?).David A. Madore2010-05-201-0/+2
* More details/clarifications on morphisms.David A. Madore2010-05-191-25/+66
* Introducing the functor of points (for an affine algebraic variety).upload-20100518David A. Madore2010-05-181-32/+72
* Clarifications on morphisms and regular functions. More to come.David A. Madore2010-05-181-6/+29
* Update TODO.upload-20100517David A. Madore2010-05-171-4/+9
* Change file name.David A. Madore2010-05-171-0/+0
* Corrections/additions noted during course on 2010-05-17.David A. Madore2010-05-171-2/+10
* Start mentioning open set.David A. Madore2010-05-171-0/+13
* Another change of heart: use Z(I) rather than V(I) for the Zariski-closed sub...David A. Madore2010-05-171-62/+62
* An example (the morphism parametrizing the plane cubic with a cusp).David A. Madore2010-05-171-0/+14
* Clarifications and slight expansions.David A. Madore2010-05-171-17/+50
* Change of heart: use \mathfrak{I} rather than \mathfrak{Z} for the ideal asso...David A. Madore2010-05-171-46/+46
* Morphisms of affine algebraic varieties.David A. Madore2010-05-151-0/+56
* The ring of a Zariski closed set.David A. Madore2010-05-151-4/+80
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