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MARC 21

Introduction to Algebraic Geometry
Tag	Description
020	$a9781470435189
082	$a516.3
099	$a512.7 CUT
100	$aCutkosky, Steven Dale
245	$aIntroduction to Algebraic Geometry$hM$cSteven Dale Cutkosky
260	$aProvidence$bAmerican Mathematical Society$c2018
300	$axii, 484 pages$c25 cm
440	$aGraduate Studies in Mathematics$v188
520	$aThis 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 0 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. - Provided by publisher