Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 (Annals of Mathematics Studies, 59) by David Mumford (PDF)

Description

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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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐must read. that’s that.

⭐An awesome book. Don’t wait till you finish Hartshorne. Even if you have some basic familiarity with Schemes & a little bit of Cohomology, go for it.

⭐

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