DC Element | Wert | Sprache |
dc.contributor.author | Haase, Christian | |
dc.contributor.author | Juhnke-Kubitzke, Martina | |
dc.contributor.author | Sanyal, Raman | |
dc.contributor.author | Theobald, Thorsten | |
dc.date.accessioned | 2021-12-23T16:16:45Z | - |
dc.date.available | 2021-12-23T16:16:45Z | - |
dc.date.issued | 2017 | |
dc.identifier.issn | 10778926 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/12036 | - |
dc.description.abstract | For lattice polytopes P-1,...,P-k subset of R-d, Bihan (2016) introduced the discrete mixed volume DMV(P-1,...,P-k) in analogy to the classical mixed volume. In this note we study the associated mixed Ehrhart polynomial MEp(1),...,p(k)(n) = DMV(nP(1),...,nP(k)). We provide a characterization of all mixed Ehrhart coefficients in terms of the classical multivariate Ehrhart polynomial. Bihan (2016) showed that the discrete mixed volume is always non-negative. Our investigations yield simpler proofs for certain special cases. We also introduce and study the associated mixed h*-vector. We show that for large enough dilates rP(1),...,rP(k) the corresponding mixed h*-polynomial has only real roots and as a consequence the mixed h*-vector becomes non-negative. | |
dc.description.sponsorship | DFG Heisenberg-ProfessorshipGerman Research Foundation (DFG) [HA4383/4]; German Research CouncilGerman Research Foundation (DFG) [DFG-GRK 1916]; DFG-Collaborative Research CenterGerman Research Foundation (DFG) [TRR 109]; DFGGerman Research Foundation (DFG)European Commission [TH1333/3-1]; Supported by DFG Heisenberg-Professorship HA4383/4.; Supported by the German Research Council DFG-GRK 1916.; Supported by the DFG-Collaborative Research Center, TRR 109 ``Discretization in Geometry and Dynamics''.; Supported by DFG grant TH1333/3-1. | |
dc.language.iso | en | |
dc.publisher | ELECTRONIC JOURNAL OF COMBINATORICS | |
dc.relation.ispartof | ELECTRONIC JOURNAL OF COMBINATORICS | |
dc.subject | (mixed) Ehrhart polynomial | |
dc.subject | discrete (mixed) volume | |
dc.subject | h*-vector | |
dc.subject | lattice polytope | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | real roots | |
dc.title | Mixed Ehrhart polynomials | |
dc.type | journal article | |
dc.identifier.isi | ISI:000392293400010 | |
dc.description.volume | 24 | |
dc.description.issue | 1 | |
dc.contributor.orcid | 0000-0002-5769-0917 | |
dc.publisher.place | C/O FELIX LAZEBNIK, RM 507, EWING HALL, UNIV DELAWARE, DEPT MATHEMATICAL SCIENCES, NEWARK, DE 19716 USA | |
dcterms.isPartOf.abbreviation | Electron. J. Comb. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | JuMa420 | - |