Author | Harris, Joe. author |
---|---|
Title | Algebraic Geometry [electronic resource] : A First Course / by Joe Harris |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2189-8 |
Descript | XIX, 330 p. online resource |
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 -- 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 -- Hints for Selected Exercises -- References