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The goal of this book is to provide an introduction to algebraic
geometry accessible to students. Starting from solutions of
polynomial equations, modern tools of the subject soon appear,
motivated by how they improve our understanding of geometrical
concepts. In many places, analogies and differences with related
mathematical areas are explained. The text approaches foundations
of algebraic geometry in a complete and self-contained way, also
covering the underlying algebra. The last two chapters include a
comprehensive treatment of cohomology and discuss some of its
applications in algebraic geometry.
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