By J. Rafael Sendra

The significant challenge thought of during this advent for graduate scholars is the decision of rational parametrizability of an algebraic curve and, within the optimistic case, the computation of an exceptional rational parametrization. This quantities to opting for the genus of a curve: its entire singularity constitution, computing typical issues of the curve in small coordinate fields, and developing linear structures of curves with prescribed intersection multiplicities. The ebook discusses quite a few optimality standards for rational parametrizations of algebraic curves.

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