Wampler: Finding All Real Points of a Complex Curve

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Finding All Real Points of a Complex Algebraic Curve

Charles Wampler

General Motors R&D Center

In collaboration with

Ye Lu (MIT), Daniel= Bates (IMA), &

Andrew Sommese (University of Notre Dame)

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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Wampler: Finding All Real Points of a Complex Curve

2&#= 13;

Outline

nReal points in a curve

nRelati= onship between a complex curve and its real points

nMorse-like representation for real curves

nNumerical algorithm

nFind isolated real points

nFind boundary points, B, of real curve arcs

nFind arcs and how they connect to B

nFind how components meet each other

nExamples

nA Griffis-Duffy platform with a curious real motion

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