By Robin Hartshorne
From the preface:
"This e-book offers an advent to summary algebraic geometry utilizing the equipment of schemes and cohomology. the most gadgets of research are algebraic types in an affine or projective area over an algebraically closed box; those are brought in bankruptcy I, to set up a few uncomplicated recommendations and examples. Then the tools of schemes and cohomology are built in Chapters II and III, with emphasis on purposes instead of over the top generality. The final chapters of the e-book (IV and V) use those how you can examine subject matters within the classical concept of algebraic curves and surfaces."
The dossier is a searchable DJVU.
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