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Printed Matter on Alexei Gorodentsev's ALGEBRAIC GEOMETRY START UP COURSE Contents:       program    lecture notes    home tasks    written tests    exercise sheets (in Russian)

You can download at once all available printed matters on this course (they are organized in 74 pages text book) as 791 Kb of gzipped PostScript.

Approximate program

Lecture Notes

Lecture 1. Projective spaces, projective transformations, and projections.
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Lecture 2. Projective quadrics.
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Lecture 3. Plane drawings: pencils and conics.
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Tensor Guide. (Instead of lecture 4)
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Lecture 5. Geometry of skew commutative polynomials: Grassmannians.
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Lecture 6. Geometry of commutative polynomials: Veronese varieties.
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Commutative Algebra Draught. (Instead of lecture 7)
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Lecture 8. Projective hypersurfaces (in zero characteristic).
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Lecture 9. Plane curves: singularities, intersections, Plücker relations.
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Lecture 10. Plane curves: correspondences and Chasles - Cayley - Brill formula.
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Lecture 11. Affine Algebraic - Geometric dictionary.
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Lecture 12. Algebraic manifolds, morphisms, and the dimension.
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Lecture 13. Working example: lines on surfaces.
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Lecture 14. Algebraic vector bundles.
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Lecture 15. Sheaves.
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Home Tasks

Task 1. Projective spaces, affine charts, coordinates, and projections
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Task 2. Projective quadrics, especially conics
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Task 3. Plücker -- Segre -- Veronese interaction
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Task 4. Some useful (multi) linear algebra
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Task 5. Hypersurfaces, tangents, and singularities
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Task 6. Polynomial ideals
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Task 7. Plane curves.
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Task 8. Algebraic manifolds backgrounds.
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Written Tests

Test 1 (on the first part of course).
         It was given at Göttingen University, Winter 2002/03
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Test 2 (on the second part of course).
         It was given at Göttingen University, Winter 2002/03
         You can download either zipped PostScript or gzipped PostScript file.

Test 3 (on a `light version' of this course).
         It was given in `Math. in Moscow'
         (this is a special program for foreign students
         at the Independent University of Moscow), Spring 2002
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Test 4 (on a preliminary version of this course).
         It was given at Warwick University, Spring 1999
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Exercise sheets (in Russian)

Gzipped postscript (may be viewed directly by some versions of ghostview)

[Sheet 1 (31K)|Sheet 2 (28K)|Sheet 3 (35K)|Sheet 4 (41K)]

Zipped postscript

[Sheet 1 (31K)|Sheet 2 (28K)|Sheet 3 (35K)|Sheet 4 (41K)]

Exam (in Russian)

[Postscript (50K)|Zipped postscript (20K)]