WS 21
Here you can find more Information.Topic Topology and geometry of toric varieties.
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| Date: | Topics: | Status: |
|---|---|---|
| 19.10.21 | Introduction | Reserved |
| 26.10.21 | I.1) Affine Schemes I.1.1) Schemes as Sets I.1.2) Schemes as top. Spaces I.2) Schemes in general I.2.1) Subschemes Reference: The Geometry of Schemes Authors: David Eisenbud, Joe Harris |
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| 02,11,21 | I.2.3) Morphisms I.2.4) The gluing construction Reference: The Geometry of Schemes Authors: David Eisenbud, Joe Harris |
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| 09.11.21 | 1.1) Introduction 1.2) Convex polyhedral cones 1.3) Affine toric varieties Reference: Introduction to Toric Varieties Author: William Fulton 1.3) Properties of affine toric varieties (Smooth affine toric varieties) Reference: Toric Varieties Authors: David Cox, John Little,Hal Schenck |
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| 16.11.21 | 1.4) Fans and affine toric varieties 1.5) Toric varieties from polytopes Reference: Introduction to Toric Varieties Author: William Fulton |
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| 23.11.21 | 2) Preliminaries Reference: The intersection homology with twisted coefficients of toric varieties (PhD thesis) Author: Yavin, David |
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| 30.11.21 | 2.1) Local properties 3.1) Orbits 3.2) Orbits-Cone correspondence Reference: Introduction to Toric Varieties Author: William Fulton |
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| 07.12.21 | 3.2) Fundamental groups and Euler characteristic Reference: Introduction to Toric Varieties Author: William Fulton |
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| 14.12.21 | 1.2) CW-Cell decomposition 3.1) Cellular homology Reference: On toric varieties(PhD thesis) Author: Stephan Fischli |
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| 21.12.21 | 2.1) Covariant functors and associated homology theories Reference: Homology and Cohomology of Toric Varieties (PhD Thesis) Author: Arno Jordan |
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| 11.01.22 | 2.2) The homology spectral sequence of a filtered chain complex Reference: Homology and Cohomology of Toric Varieties (PhD Thesis) Author: Arno Jordan |
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| 18.01.22 | 2.3) The toric homology spectral sequence Reference: Homology and Cohomology of Toric Varieties (PhD Thesis) Author: Arno Jordan |
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| 25.01.22 | 3.3) The second E term of the integral toric homology sequence 3.4) Toric varieties of dimension 1 or 2 3.5) Toric varieties of dimension 3 3.6) Toric varieties of dimension 4 or more Reference: Homology and Cohomology of Toric Varieties (PhD Thesis) Author: Arno Jordan |
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