Basic Algebraic Geometry 2 2nd ed. 在線電子書 圖書標籤: 數學 幾何
發表於2024-11-11
Basic Algebraic Geometry 2 2nd ed. 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
Books 2 and 3 correspond to Chap. V-IX of the first edition. They study schemes and complex manifolds, two notions that generalise in different directions the varieties in projective space studied in Book 1. Introducing them leads also to new results in the theory of projective varieties. For example, it is within the framework of the theory of schemes and abstract varieties that we find the natural proof of the adjunction formula for the genus of a curve, which we have already stated and applied in Chap. IV, 2.3. The theory of complex analytic manifolds leads to the study of the topology of projective varieties over the field of complex numbers. For some questions it is only here that the natural and historical logic of the subject can be reasserted; for example, differential forms were constructed in order to be integrated, a process which only makes sense for varieties over the (mai or) complex fields. Changes from the First Edition.
此書為英文版。
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Basic Algebraic Geometry 2 2nd ed. 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024