- Algebraic Geometry (book)
"Algebraic Geometry" is an influential
algebraic geometry textbookwritten by Robin Hartshorneand published by Springer-Verlagin 1977. It was the first extended treatment of scheme theorywritten as a text intended to be accessible to graduate students.
The first chapter, titled "Varieties", deals with the classical algebraic geometry of varieties over algebraically closed field. This chapter frequently uses many classical results in
commutative algebra, including Hilbert's Nullstellensatz, with the books by Atiyah-Macdonald, Matsumura, and Zariski-Samuel as usual references. The second and the third chapters, "Schemes" and "Cohomology", form a technical heart of the book. The last two chapters, "Curves" and "Surfaces", respectively explore the geometry of 1-dimensional and 2-dimensional objects, using the tools developed in the Chapters 2 and 3.
* | year=1977
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