Mathematics Lectures on Curves on an Algebraic Surface (0691079935)

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Lectures on Curves on an Algebraic Surface

In the first Pathologies paper, Mumford finds an everywhere regular differential form on a smooth projective surface that is not closed, and shows that Hodge symmetry fails for classical Enriques surfaces in characteristic two. This second example is developed further in Mumford's third paper on classification of surfaces in characteristic p (written in collaboration with E. Bombieri). This pathology can now be explained in terms of the Picard scheme of the surface, and in particular, its failure to be a reduced scheme, which is a theme developed in Mumford's book "Lectures on Curves on an Algebraic Surface".

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	Plane Algebraic Curves Egbert Brieskorn, Horst Knorrer, “Plane Algebraic Curves”Publisher: Birkhauser \| Pages: 730 \| ISBN : 3764317698 \| DjVu \| 6.2 MbChapter 1 is a very exciting tour of algebraic curves through history with lots of examples and pictures. There ...
	Science/Engineering Arithmetic of Algebraic Curves Serguei A. Stepanov “Arithmetic of Algebraic Curves" Springer \| 1994-12-31 \| ISBN: 0306110369 \| 440 pages \| PDF \| 10,2 MB Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its rel ...
	Encyclopedias Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences) Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)Springer \| 1994 \| ISBN: 0387519955 \| Pages: 307 \| DJVU \| 3.71 MBThis volume of the Encyclopaedia consists of two parts. The first ...
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