These lectures, introduced by way of Professor Mumford at Harvard in 1963-1964, are dedicated to a examine of homes of households of algebraic curves, on a non-singular projective algebraic curve outlined over an algebraically closed box of arbitrary attribute. The equipment and methods of Grothendieck, that have so replaced the nature of algebraic geometry lately, are used systematically all through. therefore the classical fabric is gifted from a brand new point of view.
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