Phylogenetic Algebraic Geometry

  title={Phylogenetic Algebraic Geometry},
  author={Nicholas Eriksson and Kristian Ranestad and Bernd Sturmfels and Seth Sullivant},
Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution. For small trees, we recover classical geometric objects, such as toric and determinantal varieties and their secant varieties, but larger trees lead to new and largely unexplored territory. This paper gives a self-contained introduction to this subject and offers numerous open problems for… CONTINUE READING
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