most citedRational transformations of algebraic curves and elimination theory

7 citations · 7 across the 2 of their papers we have counts for

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math.AG2005★ 7 cited

Rational transformations of algebraic curves and elimination theory

Alexander Shapiro, Victor Vinnikov

Elimination theory has many applications, in particular, it describes explicitly an image of a complex line under rational transformation and determines the number of common zeroes…

math.AG2004

Braid Monodromy Type and Rational Transformations of Plane Algebraic Curves

S. Kaplan, A. Shapiro, M. Teicher

We combine the newly discovered technique, which computes explicit formulas for the image of an algebraic curve under rational transformation, with techniques that enable to comput…