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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
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* 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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* 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
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* 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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