Introduction to algebraic geometry
Cutkosky, Steven Dale
Introduction -- A crash course in commutative algebra -- Ane varieties -- Projective varieties -- Regular and rational maps of quasi projective varieties -- Products -- The blow up of an ideal -- Finite maps of quasi projective varieties -- Dimension of quasi projective algebraic sets -- Zariski's main theorem -- Nonsingularity -- Sheaves -- Applications to regular and rational maps -- Divisors -- Dierential forms and the canonical divisor -- Schemes -- The degree of a projective variety -- Cohomology -- Curves -- An introduction to intersection theory -- Surfaces -- Ramication and etale maps -- Bertini's theorems and general fibers of maps
Abstract: 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.
Abstract: 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.
ক্যাটাগোরিগুলো:
সাল:
2018
প্রকাশক:
American Mathematical Society
ভাষা:
english
পৃষ্ঠা:
498
ISBN 10:
1470435187
ISBN 13:
9781470435189
বইয়ের সিরিজ:
Graduate studies in mathematics 188
ফাইল:
PDF, 2.54 MB
IPFS:
,
english, 2018
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