degradation 发表于 2025-3-28 16:32:48
Algebraic Curvese but the algebraic approach is also considered; over ℂ we use also analysis and topology. We do not consider arithmetical questions in this chapter; the ground field . is assumed here to be algebraically closed.Evacuate 发表于 2025-3-28 20:11:26
Riemann-Roch Theorem.) plays an essential role in the theory of curves. Such an expression is given by the Riemann-Roch theorem which is the crucial result of the theory. To state it one should study differential forms on curves which are also useful in many other questions.符合国情 发表于 2025-3-28 23:01:15
http://reply.papertrans.cn/16/1528/152770/152770_43.pngNeutropenia 发表于 2025-3-29 05:35:21
Singular Curves since many smooth curves have singular models which are useful to prove some of their properties. For example, any curve has a plane (singular) model. In this chapter we discuss some properties of singular curves and describe their connections with smooth curves.Customary 发表于 2025-3-29 07:20:57
Reductions and Schemesalgebraic varieties. By specialization one can obtain for example varieties over finite fields from varieties over algebraic number fields. The study of specialization using the language of quasi-projective varieties has many disadvantages. For these questions the language of schemes which is now thharangue 发表于 2025-3-29 14:58:32
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10楼CHASM 发表于 2025-3-30 00:08:56
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