LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Algebraic Geometry ([EBook]) : A First Course / by Joe Harris.
Author	Harris, Joe. , 1951-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 1992.
Physical Details	XIX, 330 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 133
ISBN	9781475721898
Summary Note	This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-2189-8
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Authors: Harris, Joe. 1951- . Harris, Joe, 1951- . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 516.35 .

Catalogue Display

Algebraic Geometry: A First Course

Reviews