000			01351 a2200157 4500
020			_a9781470435189 (hbk.)
082			_a516.35 CUT
100			_aCutkosky, Steven Dale
245			_aIntroduction to Algebraic Geometry / _cSteven Dale Cutkosky
260			_bAMS, _cc2018. _aProvidence, Rhode Island
300			_axii, 484p.
504			_aIncludes Bibliography (469-476) & Index (477-484).
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.
650			_aGeometry, Algebraic
942			_cBK
999			_c2797 _d2797