%0 Generic %1 HerrmannJensenJoswigSturmfels2008 %A Herrmann, Sven %A Jensen, Anders %A Joswig, Michael %A Sturmfels, Bernd %D 2008 %K Dressian Grassmannian Herrmann Jensen Joswig Sturmfels arrangement line matroid parameter plane representation space subdivision tree tropics %T How to Draw Tropical Planes %U http://arxiv.org/abs/0808.2383 %X The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in $\TP^n-1$. We study these parameter spaces and we compute them explicitly for $n 7$. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures.

@misc{HerrmannJensenJoswigSturmfels2008, abstract = { The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in $\TP^{n-1}$. We study these parameter spaces and we compute them explicitly for $n \leq 7$. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures. }, added-at = {2008-12-23T17:36:19.000+0100}, author = {Herrmann, Sven and Jensen, Anders and Joswig, Michael and Sturmfels, Bernd}, biburl = {https://www.bibsonomy.org/bibtex/2b9d5028daf6a17ee18bf243de51c4b43/fwd13}, description = {How to Draw Tropical Planes}, interhash = {e087b23be3054f8f87705b25ddb4b4c7}, intrahash = {b9d5028daf6a17ee18bf243de51c4b43}, keywords = {Dressian Grassmannian Herrmann Jensen Joswig Sturmfels arrangement line matroid parameter plane representation space subdivision tree tropics}, note = {cite arxiv:0808.2383 Comment: 21 pages, 10 figures; rewritten proof of Theorem 4.4 (which was Theorem 4.3 before) for clarification, several other minor corrections}, timestamp = {2008-12-23T19:17:54.000+0100}, title = {How to Draw Tropical Planes}, url = {http://arxiv.org/abs/0808.2383}, year = 2008 }