By J. Rafael Sendra
The valuable challenge thought of during this creation for graduate scholars is the decision of rational parametrizability of an algebraic curve and, within the optimistic case, the computation of a superb rational parametrization. This quantities to deciding upon the genus of a curve: its entire singularity constitution, computing normal issues of the curve in small coordinate fields, and developing linear platforms of curves with prescribed intersection multiplicities. The e-book discusses a variety of optimality standards for rational parametrizations of algebraic curves.
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