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Harris, Joe, 1951-

Algebraic geometry : a first course / Joe Harris. - xix, 328 pages : illustrations ; 25 cm. - Graduate texts in mathematics ; 133 . - Graduate texts in mathematics ; 133. .

Includes bibliographical references (pages [314]-315) and index.

Pt. I. Examples of Varieties and Maps -- Lecture 1. Affine and Projective Varieties -- Lecture 2. Regular Functions and Maps -- Lecture 3. Cones, Projections, and More About Products -- Lecture 4. Families and Parameter Spaces -- Lecture 5. Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz -- Lecture 6. Grassmannians and Related Varieties -- Lecture 7. Rational Functions and Rational Maps -- Lecture 8. More Examples -- Lecture 9. Determinantal Varieties -- Lecture 10. Algebraic Groups -- Pt. II. Attributes of Varieties -- Lecture 11. Definitions of Dimension and Elementary Examples -- Lecture 12. More Dimension Computations -- Lecture 13. Hilbert Polynomials -- Lecture 14. Smoothness and Tangent Spaces -- Lecture 15. Gauss Maps, Tangential and Dual Varieties -- Lecture 16. Tangent Spaces to Grassmannians -- Lecture 17. Further Topics Involving Smoothness and Tangent Spaces -- Lecture 18. Degree -- Lecture 19. Further Examples and Applications of Degree -- Lecture 20. Singular Points and Tangent Cones -- Lecture 21. Parameter Spaces and Moduli Spaces -- Lecture 22. Quadrics.

ISBN: 0387977163 9780387977164 3540977163 9783540977162

LCCN: 91033973

Subjects--Topical Terms:
Geometry, Algebraic.

LC Class. No.: QA564 / .H24 1992