###### f-Vector Spaces of Polytopes, Spheres, and Eulerian Lattices

**Author: **
Brinkmann, Philip

**Note: **vii+132 pages

**Date: **
Jun 2016

**Download: **
external

###### A flag vector of a 3-sphere that is not the flag vector of a 4-polytope

**Authors: **
Brinkmann, Philip and
Ziegler, Günter M.

**Journal: **Mathematika,
63:260-271

**Note: **Preprint at arXiv, November 2015, 12 pages

**Date: **
2017

**Download: **
arXiv

###### Small f-vectors of 3-spheres and of 4-polytopes

**Authors: **
Brinkmann, Philip and
Ziegler, Günter M.

**Note: **Preprint, 19 pages

**Date: **
Oct 2016

**Download: **
arXiv

###### Reflection groups, arrangements, and invariant real varieties

**Authors: **
Friedl, Tobias and
Riener, Cordian and
Sanyal, Raman

**Note: **preprint

**Date: **
Feb 2016

###### A universality theorem for projectively unique polytopes and a conjecture of Shephard

**Authors: **
Adiprasito, Karim and
Padrol, Arnau

**Journal: **Israel J. Math.,
211:239-255

**Date: **
2016

**Download: **
arXiv

###### Simple polytopes without small separators

**Authors: **
Loiskekoski, Lauri and
Ziegler, Günter M.

**Note: **Preprint

**Date: **
Oct 2015

**Download: **
arXiv

###### Hyperplane mass partitions via relative Equivariant Obstruction Theory

**Authors: **
Blagojevic, Pavle V. M. and
Frick, Florian and
Haase, Albert and
Ziegler, Günter M.

**Note: **preprint

**Date: **
Sep 2015

**Download: **
arXiv

###### Realizability and inscribability for some simplicial spheres and matroid polytopes

**Author: **
Firsching, Moritz

**Note: **Preprint

**Date: **
Aug 2015

**Download: **
arXiv

###### Scribability Problems for Polytopes

**Authors: **
Chen, Hao and
Padrol, Arnau

**Note: **Preprint

**Date: **
Aug 2015

**Download: **
arXiv

###### The universality theorem for neighborly polytopes

**Authors: **
Adiprasito, Karim and
Padrol, Arnau

**Journal: **Combinatorica

**Note: **accepted, preprint at arxiv

**Date: **
Feb 2015

**Download: **
arXiv

###### Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem

**Authors: **
Jochemko, Katharina and
Sanyal, Raman

**Note: **preprint

**Date: **
2015

###### Dyck path triangulations and extendability

**Authors: **
Ceballos, Cesar and
Padrol, Arnau and
Sarmiento, Camilo

**Journal: **Journal of Combinatorial Theory, Series A,
131(0):187-208

**Date: **
2015

**Download: **
external
arXiv

###### Enumeration of neighborly polytopes and oriented matroids

**Authors: **
Miyata, Hiroyuki and
Padrol, Arnau

**Journal: **Experimental Math.,
24:489-505

**Date: **
2015

**DOI: **
10.1080/10586458.2015.1015084

**Download: **
external
arXiv

###### The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes

**Authors: **
Nill, Benjamin and
Padrol, Arnau

**Journal: **European Journal of Combinatorics (special issue in honour of Michel Las Vergnas),
50:159–179

**Date: **
2015

**Download: **
arXiv

###### Universality theorems for inscribed polytopes and Delaunay triangulations

**Authors: **
Adiprasito, Karim and
Padrol, Arnau and
Theran, Louis

**Journal: **Discrete Comput. Geom.,
54:412-431

**Date: **
2015

**Download: **
arXiv

###### Theta rank, levelness, and matroid minors

**Authors: **
Grande, Francesco and
Sanyal, Raman

**Note: **preprint

**Date: **
Aug 2014

**Download: **
arXiv

###### Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums

**Authors: **
Adiprasito, Karim and
Sanyal, Raman

**Note: **preprint

**Date: **
May 2014

**Download: **
arXiv

###### Polygons as slices of higher-dimensional polytopes

**Authors: **
Padrol, Arnau and
Pfeifle, Julian

**Note: **Preprint

**Date: **
Apr 2014

**Download: **
arXiv

###### Delaunay triangulations with disconnected realization spaces

**Authors: **
Padrol, Arnau and
Theran, Louis

**In Proceedings: **
30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 - 11, 2014, {ACM}

**Date: **
2014

**DOI: **
10.1145/2582112.2582119

**ISBN: **978-1-4503-2594-3

**Download: **
external

###### Many neighborly inscribed polytopes and Delaunay triangulations

**Authors: **
Gonska, Bernd and
Padrol, Arnau

**Journal: **DMTCS Proceedings,
pages 161-168

**In Proceedings: **
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)

**Date: **
2014

**Download: **
external

###### Tight and non-tight topological Tverberg type theorems

**Authors: **
Blagojevic, Pavle V. M. and
Frick, Florian and
Matschke, Benjamin and
Ziegler, Günter M.

**Journal: **Oberwolfach Reports,
11(3):2284-2287

**Date: **
2014

**Download: **
internal

###### Tverberg plus constraints

**Authors: **
Blagojevic, Pavle V. M. and
Frick, Florian and
Ziegler, Günter M.

**Journal: **Bulletin of the London Mathematical Society,
46:953-967

**Note: **Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014

**Date: **
2014

**DOI: **
10.1112/blms/bdu049

**Download: **
external
arXiv

###### Neighborly inscribed polytopes and Delaunay triangulations

**Authors: **
Gonska, Bernd and
Padrol, Arnau

**Note: **Preprint

**Date: **
Aug 2013

**Download: **
arXiv

###### On highly regular embeddings

**Authors: **
Blagojevic, Pavle V. M. and
Lück, Wolfgang and
Ziegler, Günter M.

**Note: **Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra'' (CoMeTa), Cortona

**Date: **
May 2013

**Download: **
internal
arXiv

###### Inscribable stacked polytopes

**Authors: **
Gonska, Bernd and
Ziegler, Günter M.

**Journal: **Adv. Geom.,
13:723-740

**Date: **
2013

**Download: **
arXiv