TY - BOOK AU - Harris,Joe TI - Algebraic geometry: a first course T2 - Graduate texts in mathematics SN - 0387977163 AV - QA564 .H24 1992 PY - 1992///] CY - New York PB - Springer-Verlag KW - Geometry, Algebraic N1 - 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 ER -