This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course.

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ISBN 10: 0821815067
ISBN 13: 9780821815069

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**Book Description **American Mathematical Society. Paperback. Condition: BRAND NEW. Seller Inventory # 0821815067_abe_bn

Published by
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(1951)

ISBN 10: 0821815067
ISBN 13: 9780821815069

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**Book Description **American Mathematical Society, 1951. Paperback. Condition: New. Seller Inventory # DADAX0821815067

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(1979)

ISBN 10: 0821815067
ISBN 13: 9780821815069

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**Book Description **American Mathematical Society, United States, 1979. Paperback. Condition: New. Reprint. Language: English. Brand new Book. This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course. Seller Inventory # AAN9780821815069

Published by
American Mathematical Society, United States
(1979)

ISBN 10: 0821815067
ISBN 13: 9780821815069

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Quantity Available: 1

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**Book Description **American Mathematical Society, United States, 1979. Paperback. Condition: New. Reprint. Language: English. Brand new Book. This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course. Seller Inventory # AAN9780821815069

Published by
American Mathematical Society
(1951)

ISBN 10: 0821815067
ISBN 13: 9780821815069

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**Book Description **American Mathematical Society, 1951. PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # CE-9780821815069

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ISBN 10: 0821815067
ISBN 13: 9780821815069

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**Book Description **American Mathematical Society. Paperback / softback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821815069