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MDI349 (géométrie algébrique)
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Principal open sets and how to view them as affine varieties.
upload-20100520
David A. Madore
2010-05-20
1
-2
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+107
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Abstract (affine) algebraic varieties, and the Spec of an algebra.
David A. Madore
2010-05-20
1
-1
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+62
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Connexity. Connected and irreductible components.
David A. Madore
2010-05-20
1
-1
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+102
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The Zariski topology.
David A. Madore
2010-05-20
1
-6
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+104
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More clarifications on morphisms, closed immersions, restrictions...
David A. Madore
2010-05-20
1
-16
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+61
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Use [T1]{fontenc} for correct hyphenation (wtf?).
David A. Madore
2010-05-20
1
-0
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+2
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More details/clarifications on morphisms.
David A. Madore
2010-05-19
1
-25
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+66
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Introducing the functor of points (for an affine algebraic variety).
upload-20100518
David A. Madore
2010-05-18
1
-32
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+72
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Clarifications on morphisms and regular functions. More to come.
David A. Madore
2010-05-18
1
-6
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+29
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Update TODO.
upload-20100517
David A. Madore
2010-05-17
1
-4
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+9
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Change file name.
David A. Madore
2010-05-17
1
-0
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+0
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Corrections/additions noted during course on 2010-05-17.
David A. Madore
2010-05-17
1
-2
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+10
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Start mentioning open set.
David A. Madore
2010-05-17
1
-0
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+13
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Another change of heart: use Z(I) rather than V(I) for the Zariski-closed ↵
David A. Madore
2010-05-17
1
-62
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+62
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subset defined by I.
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An example (the morphism parametrizing the plane cubic with a cusp).
David A. Madore
2010-05-17
1
-0
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+14
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Clarifications and slight expansions.
David A. Madore
2010-05-17
1
-17
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+50
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Change of heart: use \mathfrak{I} rather than \mathfrak{Z} for the ideal ↵
David A. Madore
2010-05-17
1
-46
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+46
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associated to a subset.
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Morphisms of affine algebraic varieties.
David A. Madore
2010-05-15
1
-0
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+56
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The ring of a Zariski closed set.
David A. Madore
2010-05-15
1
-4
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+80
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Merge branch 'master' of git.madore.org:mdi349
David A. Madore
2010-05-14
1
-29
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+65
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Conflicts: notes-mdi349.tex
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Update TODO.
David A. Madore
2010-05-11
1
-3
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+5
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Corrections/additions noted during course on 2010-05-11.
David A. Madore
2010-05-11
1
-23
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+62
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Avoid use of opacity (fscks PostScript file generated from PDF).
David A. Madore
2010-05-11
1
-3
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+3
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Irreducible Zariski closed sets and prime ideals.
David A. Madore
2010-05-14
1
-1
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+42
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More about (and reorganize) the correspondance between ideals and ↵
David A. Madore
2010-05-14
1
-28
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+119
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Zariski-closed sets in affine space.
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Zariski topology, Nullstellensatz, and whatnot.
David A. Madore
2010-05-11
1
-0
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+150
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(A bit hastily written.)
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More miscellaneous additions.
David A. Madore
2010-05-11
1
-16
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+57
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Miscellaneous forgotten stuff.
David A. Madore
2010-05-10
1
-1
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+11
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More commutative algebra: more on prime ideals, localization, etc.
David A. Madore
2010-05-10
1
-0
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+121
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Some prolegomena in commutative algebra.
David A. Madore
2010-05-10
1
-4
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+232
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Introduction / motivation.
David A. Madore
2010-05-10
1
-0
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+210