Lectures on Curves on an Algebraic Surface

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Princeton University Press, 1966 - Mathematics - 200 pages
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These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

  

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Contents

Raw Material on Curves on surfaces and
1
The Fundamental Existence Problem and Two Analytic
7
Re Representable Functors and Zariski
26
Cartier Divisors
61
BIBLIOGRAPHY
199
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About the author (1966)

David Mumford is Professor Emeritus of Applied Mathematics at Brown University, Rhode Island.

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