Algebraic Geometry

A First Course

Joe Harris (Autor)

Buch | Hardcover

XIX, 328 Seiten

1992
Springer, Berlin (Verlag)
978-3-540-97716-2 (ISBN)

Infos

This text provides an elementary introduction to algebraic geometry. You are introduced to the principal objects, methods, and goals of the subject quickly without having to invest in a weighty development of technical machinery. Much of the text is occupied by examples and exercises which enable the student to become quite familiar with the subject matter. Prerequisites have been kept to a minimum; you should be able to get by with some linear and multilinear algebra and a basic background in abstract algebra.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 31.10.1992
• Reihe/Serie: Graduate Texts in Mathematics
• Zusatzinfo: m. 83 Abb.
• Verlagsort: Berlin
• Sprache: englisch
• Gewicht: 640 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 3-540-97716-3 / 3540977163
• ISBN-13: 978-3-540-97716-2 / 9783540977162
• Zustand: Neuware