Titlebook: Introduction to Plane Algebraic Curves; Ernst Kunz Textbook 2005 Birkhäuser Boston 2005 Algebraic curve.Belshoff.Kunz.algebra.computer alg

知识分子

More on Intersection Theory. ApplicationsIn the last section we introduced the multiplicity of a point on an algebraic curve. Using multiplicities we can make more precise statements about the nature of the intersections of two curves than was possible so far.We will also present some further applications of Bézout’s theorem.

较早

Polars and Hessians of Algebraic CurvesThe study of the tangents to an algebraic curve is continued in this chapter. We are concerned with the question of how many tangents of an algebraic curve can pass through a given point of the plane.We also investigate the “flex tangents,”the tangent lines at in inflection points.

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织物

https://doi.org/10.1007/0-8176-4443-1Algebraic curve; Belshoff; Kunz; algebra; computer algebra; ksa; ring theory

Bombast

978-0-8176-4381-2Birkhäuser Boston 2005

abracadabra

Ernst KunzEmploys proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in w

大方一点

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Between

Ane Algebraic Curveslar that .[.] is a principal ideal domain,and that .[.,..., .] is a unique factorization domain in general. Also, ideals and quotient rings will be used. Finally, one must know that an algebraically closed field has in infinitely many elements.

Deadpan

Rational Maps. Parametric Representations of Curves birational equivalence by rational maps.It will also be shown that a curve is rational precisely when it has a “parametric representation.” This chapter depends on Chapter 4, but it also uses parts of Chapter 6.

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