By Robin Hartshorne
From the preface:
"This ebook offers an advent to summary algebraic geometry utilizing the equipment of schemes and cohomology. the most gadgets of analysis are algebraic types in an affine or projective area over an algebraically closed box; those are brought in bankruptcy I, to set up a couple of uncomplicated options and examples. Then the tools of schemes and cohomology are constructed 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 to research themes within the classical thought of algebraic curves and surfaces."
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Extra info for Algebraic Geometry (Graduate Texts in Mathematics)
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Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne