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The Genus of an Algebraic Curve and of Its Function Field

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Introduction to Plane Algebraic Curves
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Abstract

Here we mainly give rules for explicitly determining the genus.These originate from formula 13.16. By a function field we always understand an algebraic function field of one variable. We say that it is rational if it is generated by one transcendental element.

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© 2005 Birkhäuser Boston

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(2005). The Genus of an Algebraic Curve and of Its Function Field. In: Introduction to Plane Algebraic Curves. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4443-1_14

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