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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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* Abstract (affine) algebraic varieties, and the Spec of an algebra.David A. Madore2010-05-201-1/+62
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* Connexity. Connected and irreductible components.David A. Madore2010-05-201-1/+102
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* The Zariski topology.David A. Madore2010-05-201-6/+104
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* More clarifications on morphisms, closed immersions, restrictions...David A. Madore2010-05-201-16/+61
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* Use [T1]{fontenc} for correct hyphenation (wtf?).David A. Madore2010-05-201-0/+2
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* More details/clarifications on morphisms.David A. Madore2010-05-191-25/+66
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* Introducing the functor of points (for an affine algebraic variety).upload-20100518David A. Madore2010-05-181-32/+72
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* Clarifications on morphisms and regular functions. More to come.David A. Madore2010-05-181-6/+29
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* Update TODO.upload-20100517David A. Madore2010-05-171-4/+9
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* Change file name.David A. Madore2010-05-171-0/+0
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* Corrections/additions noted during course on 2010-05-17.David A. Madore2010-05-171-2/+10
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* Start mentioning open set.David A. Madore2010-05-171-0/+13
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* Another change of heart: use Z(I) rather than V(I) for the Zariski-closed ↵David A. Madore2010-05-171-62/+62
| | | | subset defined by I.
* An example (the morphism parametrizing the plane cubic with a cusp).David A. Madore2010-05-171-0/+14
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* Clarifications and slight expansions.David A. Madore2010-05-171-17/+50
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* Change of heart: use \mathfrak{I} rather than \mathfrak{Z} for the ideal ↵David A. Madore2010-05-171-46/+46
| | | | associated to a subset.
* Morphisms of affine algebraic varieties.David A. Madore2010-05-151-0/+56
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* The ring of a Zariski closed set.David A. Madore2010-05-151-4/+80
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* Merge branch 'master' of git.madore.org:mdi349David A. Madore2010-05-141-29/+65
|\ | | | | | | | | Conflicts: notes-mdi349.tex
| * Update TODO.David A. Madore2010-05-111-3/+5
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| * Corrections/additions noted during course on 2010-05-11.David A. Madore2010-05-111-23/+62
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| * Avoid use of opacity (fscks PostScript file generated from PDF).David A. Madore2010-05-111-3/+3
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* | Irreducible Zariski closed sets and prime ideals.David A. Madore2010-05-141-1/+42
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* | More about (and reorganize) the correspondance between ideals and ↵David A. Madore2010-05-141-28/+119
|/ | | | Zariski-closed sets in affine space.
* Zariski topology, Nullstellensatz, and whatnot.David A. Madore2010-05-111-0/+150
| | | | (A bit hastily written.)
* More miscellaneous additions.David A. Madore2010-05-111-16/+57
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* Miscellaneous forgotten stuff.David A. Madore2010-05-101-1/+11
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* More commutative algebra: more on prime ideals, localization, etc.David A. Madore2010-05-101-0/+121
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* Some prolegomena in commutative algebra.David A. Madore2010-05-101-4/+232
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* Introduction / motivation.David A. Madore2010-05-101-0/+210
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