Titlebook: An Invitation to Algebraic Geometry; Karen E. Smith,Lauri Kahanpää,William Traves Textbook 2000 Springer Science+Business Media New York 2

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https://doi.org/10.1007/978-1-4757-4497-2Grad; algebraic geometry; algebraic varieties

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Affine Algebraic Varieties,ocally as zero loci of polynomials. For example, every high school mathematics student has studied a bit of algebraic geometry, in learning the basic properties of conic sections such as parabolas and hyperbolas.

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Maps to Projective Space,ace ., we can ask a host of questions whose answers might help illuminate its geometry. What kinds of curves does the surface contain? Is it covered by rational curves, that is, curves birationally equivalent to ℙ.? If not, how many rational curves does it contain, and how do they intersect each oth

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0172-5939 h algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.978-1-4419-3195-5978-1-4757-4497-2Series ISSN 0172-5939 Series E-ISSN 2191-6675

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0172-5939 tury, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites

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Textbook 2000some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presum