Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne

By Robin Hartshorne

From the preface:

"This ebook presents an advent to summary algebraic geometry utilizing the tools of schemes and cohomology. the most items of research are algebraic kinds in an affine or projective area over an algebraically closed box; those are brought in bankruptcy I, to set up a few uncomplicated strategies and examples. Then the equipment 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 ebook (IV and V) use those the way to examine themes within the classical idea of algebraic curves and surfaces."

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