Phylogenetic Algebraic Geometry Export

@article{citeulike:3110822, abstract = {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.}, archivePrefix = {arXiv}, author = {Eriksson, Nicholas and Ranestad, Kristian and Sturmfels, Bernd and Sullivant, Seth}, citeulike-article-id = {3110822}, citeulike-linkout-0 = {http://arxiv.org/abs/math.AG/0407033}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.AG/0407033}, day = {2}, eprint = {math.AG/0407033}, keywords = {algebraic\_geometry, modelling, phylogenetics, trees}, month = {Jul}, posted-at = {2008-08-12 06:41:55}, priority = {2}, title = {Phylogenetic Algebraic Geometry}, url = {http://arxiv.org/abs/math.AG/0407033}, year = {2004} }

TY - JOUR ID - citeulike:3110822 L3 - citeulike-article-id:3110822 N2 - 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. TI - Phylogenetic Algebraic Geometry KW - algebraic_geometry KW - modelling KW - phylogenetics KW - trees AU - Eriksson, Nicholas AU - Ranestad, Kristian AU - Sturmfels, Bernd AU - Sullivant, Seth PY - 2004/Jul/02/ UR - http://arxiv.org/abs/math.AG/0407033 ER -