naa a22 4500 510736831 CHVBK 20180411083013.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s13366-012-0122-6 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0122-6 Fink Alex North Carolina State University, NC, Raleigh, USA aut Tropical cycles and Chow polytopes [Elektronische Daten] [Alex Fink] The Chow polytope of an algebraic cycle in a torus depends only on its tropicalisation. Generalising this, we associate a Chow polytope to any abstract tropical variety X in a tropicalised toric variety: the normal tropical hypersurface to this Chow polytope is the Minkowski sum of X and a reflected skeleton of the fan of the toric variety. Several significant polyhedra associated to tropical varieties are special cases of our Chow polytope. We show also that Chow polytope subdivisions do not fully distinguish the combinatorial types of tropical variety, and record a proof of the equivalence of two standard definitions of tropical linear spaces. The Managing Editors, 2012 Chow polytope nationallicence Chow variety nationallicence Polytope subdivision nationallicence Tropical variety nationallicence Tropical intersection theory nationallicence Tropical linear space nationallicence Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 13-40 0138-4821 54:1<13 2013 54 13366 https://doi.org/10.1007/s13366-012-0122-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0122-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fink Alex North Carolina State University, NC, Raleigh, USA aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 13-40 0138-4821 54:1<13 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer