By J. Rafael Sendra

The vital challenge thought of during this advent for graduate scholars is the selection of rational parametrizability of an algebraic curve and, within the confident case, the computation of a great rational parametrization. This quantities to deciding on the genus of a curve: its entire singularity constitution, computing general issues of the curve in small coordinate fields, and developing linear structures of curves with prescribed intersection multiplicities. The booklet discusses a variety of optimality standards for rational parametrizations of algebraic curves.

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