By Robin Hartshorne
From the preface:
"This booklet presents an creation to summary algebraic geometry utilizing the equipment of schemes and cohomology. the most gadgets of analysis 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 simple ideas and examples. Then the tools of schemes and cohomology are constructed in Chapters II and III, with emphasis on functions instead of over the top generality. The final chapters of the publication (IV and V) use those how to examine issues within the classical idea of algebraic curves and surfaces."
The dossier is a searchable DJVU.
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Extra resources for Algebraic Geometry (Graduate Texts in Mathematics)
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