DC Element | Wert | Sprache |
dc.contributor.author | Juhnke-Kubitzke, M. | |
dc.contributor.author | de Wolff, T. | |
dc.date.accessioned | 2021-12-23T16:31:55Z | - |
dc.date.available | 2021-12-23T16:31:55Z | - |
dc.date.issued | 2016 | |
dc.identifier.issn | 14627264 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/17179 | - |
dc.description | Conference of 28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 ; Conference Date: 4 July 2016 Through 8 July 2016; Conference Code:158627 | |
dc.description.abstract | Amoebas are projections of complex algebraic varieties in the algebraic torus under a Log-absolute value map, which have connections to various mathematical subjects. While amoebas of hypersurfaces have been intensively studied during the last years, the non-hypersurface case is barely understood so far. We investigate intersections of amoebas of n hypersurfaces in (C∗)n, which are genuine supersets of amoebas given by non-hypersurface varieties. Our main results are amoeba analogs of Bernstein's Theorem and Bézout's Theorem providing an upper bound for the number of connected components of such intersections. Moreover, we show that the order map for hypersurface amoebas can be generalized in a natural way to intersections of amoebas. We show that, analogous to the case of amoebas of hypersurfaces, the restriction of this generalized order map to a single connected component is still 1-to-1. © 2016 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France to reconstruct the historical associations between the phylogenies of host and parasite under a model of parasites switching hosts, which is an instance of the more general problem of cophylogeny estimation. | |
dc.description.sponsorship | German-Israeli Foundation for Scientific Research and DevelopmentGerman-Israeli Foundation for Scientific Research and Development,GIF,1174/2011,MA 4797/3-2,TH 1333/2-1; †Email: juhnke-kubitzke@uni-osnabrueck.de. MJ was supported by the German Research Council DFG-GRK 1916. ‡Email: dewolff@math.tamu.edu TdW was partially supported by GIF Grant no. 1174/2011, DFG project MA 4797/3-2 and DFG project TH 1333/2-1. | |
dc.language.iso | en | |
dc.publisher | Discrete Mathematics and Theoretical Computer Science | |
dc.relation.ispartof | Discrete Mathematics and Theoretical Computer Science | |
dc.subject | Algebra | |
dc.subject | Algebraic torus | |
dc.subject | Algebraic varieties | |
dc.subject | Amoeba | |
dc.subject | Bernstein's Theorem | |
dc.subject | Connected component | |
dc.subject | Intersection | |
dc.subject | Intersections | |
dc.subject | Mixed Volume | |
dc.subject | Order Map | |
dc.subject | Protozoa, Absolute values | |
dc.subject | Tropical Geometry | |
dc.subject | Tropical geometry, Combinatorial mathematics | |
dc.title | Intersections of amoebas | |
dc.type | conference paper | |
dc.identifier.scopus | 2-s2.0-85082986133 | |
dc.identifier.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082986133&partnerID=40&md5=bd2b5ddfb27d8586325010f287bbc75d | |
dc.description.startpage | 659 | |
dc.description.endpage | 670 | |
dcterms.isPartOf.abbreviation | Discrete Math. Theor. Comput. Sci. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | JuMa420 | - |