On the intrinsic complexity of elimination problems in effective Algebraic Geometry

Joos Heintz; Bart Kuijpers; Andres Rojas Paredes

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arXiv · 1201.4344

On the intrinsic complexity of elimination problems in effective Algebraic Geometry

Joos Heintz·Bart Kuijpers·Andres Rojas Paredes

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Abstract

The representation of polynomials by arithmetic circuits evaluating them is an alternative data structure which allowed considerable progress in polynomial equation solving in the last fifteen years. We present a circuit based computation model which captures all known symbolic elimination algorithms in effective algebraic geometry and show the intrinsically exponential complexity character of elimination in this complexity model.

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Joos Heintz, Bart Kuijpers, Andres Rojas Paredes. 2012-04-25. On the intrinsic complexity of elimination problems in effective Algebraic Geometry. https://arxiv.org/abs/1201.4344

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