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Register a new userTangent Quadrics in Real 3-Space
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Added by
Bernd Sturmfels
Publication date
2020
fields
Informatics Engineering
and research's language is
English
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We examine quadratic surfaces in 3-space that are tangent to nine given figures. These figures can be points, lines, planes or quadrics. The numbers of tangent quadrics were determined by Hermann Schubert in 1879. We study the associated systems of polynomial equations, also in the space of complete quadrics, and we solve them using certified numerical methods. Our aim is to show that Schuberts problems are fully real.
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