Introduction to Algebraic Geometry

Released on by Steven Dale Cutkosky
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  • Introduction to Algebraic Geometry Book Detail

  • Author : Steven Dale Cutkosky
  • Release Date : 2018-06-01
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 498
  • ISBN 13 : 1470435187
  • File Size : 96,96 MB
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Introduction to Algebraic Geometry by Steven Dale Cutkosky PDF Summary

Book Description: This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

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