TU Berlin

Fachgebiet Algorithmische AlgebraProf. Dr. Kathlén Kohn

Inhalt des Dokuments

zur Navigation

Ehemalige Mitarbeiter

Prof. Dr. Kathlén Kohn

Lupe

Anschrift
Institutionen för Matematik
KTH
Lindstedtsvägen 25
10044 Stockholm

Persönliche Homepage:
https://kathlenkohn.github.io/

Publikationen in der Arbeitsgruppe

Moment Varieties of Measures on Polytopes
Zitatschlüssel S-Moment-Varieties-Of-Measures-On-Polytopes
Autor Kathlén Kohn and Boris Shapiro and Bernd Sturmfels
Jahr 2018
Monat 07
Zusammenfassung The uniform probability measure on a convex polytope induces piecewise polynomial densities on its projections. For a fixed combinatorial type of simplicial polytopes, the moments of these measures are rational functions in the vertex coordinates. We study projective varieties that are parametrized by finite collections of such rational functions. Our focus lies on determining the prime ideals of these moment varieties. Special cases include Hankel determinantal ideals for polytopal splines on line segments, and the relations among multisymmetric functions given by the cumulants of a simplex. In general, our moment varieties are more complicated than in these two special cases. They offer challenges for both numerical and symbolic computing in algebraic geometry.
Link zur Publikation Download Bibtex Eintrag

Navigation

Direktzugang

Schnellnavigation zur Seite über Nummerneingabe