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Introduction to Plane Algebraic Curves (Paperback, 2005 ed.)
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Introduction to Plane Algebraic Curves (Paperback, 2005 ed.)
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This work treats an introduction to commutative ring theory and
algebraic plane curves, requiring of the student only a basic
knowledge of algebra, with all of the algebraic facts collected
into several appendices that can be easily referred to, as needed.
Kunz's proven conception of teaching topics in commutative algebra
together with their applications to algebraic geometry makes this
book significantly different from others on plane algebraic curves.
The exposition focuses on the purely algebraic aspects of plane
curve theory, leaving the topological and analytical viewpoints in
the background, with only casual references to these subjects and
suggestions for further reading. algebras, their graduated rings
and Rees algebras, to deduce basic facts about the intersection
theory of plane curves; presents residue theory in the affine plane
and its applications to intersection theory; methods of proof for
the Riemann-Roch theorem conform to the presentation of curve
theory, formulated in the language of filtrations and associated
graded rings; and examples, exercises, figures and suggestions for
further study round out this fairly self-contained textbook.
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