Printed Matter on Alexei Gorodentsev's
ALGEBRAIC GEOMETRY START UP COURSE
Contents:

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.
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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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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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
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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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[Sheet 1 (31K)Sheet 2 (28K)Sheet 3 (35K)Sheet 4 (41K)]
[Sheet 1 (31K)Sheet 2 (28K)Sheet 3 (35K)Sheet 4 (41K)]
[Postscript (50K)Zipped postscript (20K)]