Titlebook: Algebraic-Geometric Codes; M. A. Tsfasman,S. G. Vlăduţ Book 1991 Kluwer Academic Publishers and Copyright Holders 1991 algebraic curve.ana

degradation

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

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.

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Neutropenia

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

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 th

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