9/19
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Complex tori
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Homomorphisms of complex tori
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| 9/21 |
Cohomology of complex tori |
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Review of complex geometry |
| 9/26 |
The Hodge decomposition
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Line bundles on complex tori
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| 9/28 |
Chern classes of line bundles
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The Appell-Humbert theorem
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| 10/3 |
The dual complex torus
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The Poincaree bundle
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| 10/5 |
Theta functions
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Cohomology of line bundles,
Riemann-Roch
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| 10/10 |
Abelian varieties, polarizations
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The Riemann relations
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| 10/12 |
The decomposition theorem
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Gauss map
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| 10/17 |
Projective embeddings
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Kummer varieties
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| 10/19 |
Morphisms to abelian varieties
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Pontryagin product
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| 10/24 |
Tangent cones to analytic spaces
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| 10/26 |
Jacobians
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Abel map
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| 10/31 |
Varieties of special linear
series
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11/7
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The geometric theory of
Riemann's theta function
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11/9
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Torelli Theorem
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11/14
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Kempf's Theorem
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11/16
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Theory of Andreotti and Mayer
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11/21
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Criterion of Matsusaka-Ran
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11/28
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Trisecants to the Kummer variety
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12/5
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Results of Kollar and
Ein-Lazarsfeld on the singular locus of a theta divisor
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12/7
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Intermediate Jacobians |
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Prym Varieties
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