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Prolongations and Computational Algebra

  Published:2009-08-01
 Printed: Aug 2009
  • Jessica Sidman
  • Seth Sullivant
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Abstract

We explore the geometric notion of prolongations in the setting of computational algebra, extending results of Landsberg and Manivel which relate prolongations to equations for secant varieties. We also develop methods for computing prolongations that are combinatorial in nature. As an application, we use prolongations to derive a new family of secant equations for the binary symmetric model in phylogenetics.
MSC Classifications: 13P10, 14M99 show english descriptions Grobner bases; other bases for ideals and modules (e.g., Janet and border bases)
None of the above, but in this section
13P10 - Grobner bases; other bases for ideals and modules (e.g., Janet and border bases)
14M99 - None of the above, but in this section
 

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