BOUT
发表于 2025-3-21 19:17:52
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丧失
发表于 2025-3-21 22:39:41
Karl Löwiths Philosophischer Wegrn. A variety over an algebraically closed field . is a separated reduced scheme of finite type over .. The general properties of quasiprojective varieties from Volume 1 of the book are reinterpreted in this intrinsic framework..There follows a comparison between varieties and projective varieties,
表示向前
发表于 2025-3-22 01:07:22
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CONE
发表于 2025-3-22 04:40:57
https://doi.org/10.1007/978-3-642-65435-0 space, or a complex manifold if the variety is nonsingular. Many features of the geometry of algebraic varieties carry over to the complex analytic setting, such as the link between divisors and line bundles. The relation is especially close for complex manifolds that arise from complete varieties.
放肆的我
发表于 2025-3-22 10:38:39
https://doi.org/10.1007/978-3-642-65435-0ory is classical: a curve of genus 0 is isomorphic to ., by the Riemann mapping theorem, curves of genus 1 are uniformised by . with the fundamental group a lattice of translations, and curves of genus ≥2 by the upper half-plane, with the covering group a cocompact discrete subgroup of .. Conversely
BILL
发表于 2025-3-22 16:58:43
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Lignans
发表于 2025-3-22 19:40:47
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Pepsin
发表于 2025-3-22 22:09:58
https://doi.org/10.1007/978-3-642-38010-5algebraic geometry; complex algebraic varieties; geometry; schemes
节约
发表于 2025-3-23 03:45:52
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Notify
发表于 2025-3-23 08:41:55
l: .Shafarevich‘s Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all students, and for the many specialists