This textbook is an introduction to algebraic geometry that emphasizes the classical roots of the subject, avoiding the technical details better treated with the most recent methods. It provides a basis for understanding the developments of the last half century which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard, the book retains an informal style and stresses examples. Annotation copyright by Book News, Inc., Portland, OR
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs.
"This second edition of an introductory text is intended for advanced undergraduate and graduate students who have taken a one-year course in algebra and are familiar with complex analysis.
... Aguilar/Gitler/Prieto: Algebraic Topology from a Homotopical Viewpoint Aksoy/Khamsi: Nonstandard Methods in Fixed Point Theory Andersson: Topics in Complex Analysis Aupetit: A Primer on Spectral Theory Bachman/Narici/Beckenstein: ...
But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 ...
These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions.
This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject.
A comprehensive, self-contained treatment presenting general results of the theory.
We define a divisor ( or Weil divisor ) in any ring R to be an element of the free abelian group Div ( R ) whose generators are the codimension 1 prime ideals of R. That is , a Weil divisor of R is a formal linear combination of ...
'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles.