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MDI349 (géométrie algébrique)
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Morphisms between varieties on a nonclosed field.
David A. Madore
2010-06-03
1
-13
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+63
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Crash-course in Galois theory, varieties over a nonclosed field.
David A. Madore
2010-06-03
1
-3
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+148
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Introduction to dimension theory.
upload-20100601
David A. Madore
2010-06-01
1
-0
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+67
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A stupidly simple example of a morphism from an open variety.
David A. Madore
2010-06-01
1
-0
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+6
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Products of varieties, and the Segre embedding.
David A. Madore
2010-06-01
1
-2
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+62
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Note morphisms from projective to affine are constant.
David A. Madore
2010-06-01
1
-0
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+9
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Purge TODO.
David A. Madore
2010-06-01
1
-3
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+0
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Hilbert-Samuel polynomial.
David A. Madore
2010-06-01
1
-0
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+45
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Another example. Details are sketchy.
David A. Madore
2010-05-31
1
-0
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+22
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Argue that the two morphisms defined in the examples are inverse to one another.
David A. Madore
2010-05-31
1
-4
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+16
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Tedious global description of morphisms of quasiprojective varieties.
David A. Madore
2010-05-31
1
-0
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+35
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Remark prime ideals <-> irreductible closed sets also works in projective ↵
David A. Madore
2010-05-31
1
-0
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+3
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context.
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Quasiprojective varieties. Morphisms thereof. One example.
David A. Madore
2010-05-30
1
-1
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+68
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Relation between affine and projective.
David A. Madore
2010-05-29
1
-5
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+92
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Why the naïve graded ring of a projective variety is, precisely, naïve.
David A. Madore
2010-05-29
1
-17
/
+68
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A comment on irrelevant ideals.
David A. Madore
2010-05-25
1
-0
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+13
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Corrections/additions noted during course on 2010-05-25.
upload-20100525
David A. Madore
2010-05-25
1
-2
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+18
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A very short paragraph to be extended: morphisms between projective spaces.
David A. Madore
2010-05-25
1
-0
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+9
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Start projective varieties.
David A. Madore
2010-05-25
1
-0
/
+28
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Regular functions on projective space, and start introducing the canonical ↵
David A. Madore
2010-05-24
1
-6
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+60
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sheaf.
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Fix/improve points of projective space with values in a ring.
David A. Madore
2010-05-24
1
-4
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+29
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Make notations more coherent in the projective section wrt the affine section.
David A. Madore
2010-05-24
1
-44
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+44
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A projective Nullstellensatz.
David A. Madore
2010-05-24
1
-2
/
+33
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Projective space, homogeneous polynomials.
upload-20100523
David A. Madore
2010-05-24
1
-0
/
+112
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Recapitulation of algebraic varieties.
David A. Madore
2010-05-23
1
-1
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+59
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Quasi-affine varieties (this is becomming a mess...).
David A. Madore
2010-05-23
1
-13
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+116
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Introduction to gluing.
David A. Madore
2010-05-23
1
-6
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+105
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More TODO.
David A. Madore
2010-05-23
1
-0
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+4
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Another example of morphisms: rotation on the circle.
David A. Madore
2010-05-23
1
-0
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+12
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Corrections/additions noted during course on 2010-05-21.
upload-20100521
David A. Madore
2010-05-21
1
-9
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+11
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Presentation of localization inverting one element.
David A. Madore
2010-05-21
1
-0
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+29
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Update TODO.
David A. Madore
2010-05-21
1
-2
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+2
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More about principal open sets. Too complicated?
David A. Madore
2010-05-21
1
-8
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+50
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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
/
+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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