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Tangent Quadrics in Real 3-Space

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 نشر من قبل Bernd Sturmfels
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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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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