Phylogenetic Algebraic Geometry
代数几何
2007-06-13 v1 统计理论
种群与进化
统计理论
摘要
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 algebraic geometers.
引用
@article{arxiv.math/0407033,
title = {Phylogenetic Algebraic Geometry},
author = {Nicholas Eriksson and Kristian Ranestad and Bernd Sturmfels and Seth Sullivant},
journal= {arXiv preprint arXiv:math/0407033},
year = {2007}
}
备注
15 pages, 7 figures