Preprints of our Group

Preprints

• Research Report 2005-2008 [pdf]
  Christian Haase and the Research Group Lattice Polytopes
  Preprint, FU Berlin, December 2008, 16 pages.
• Linear Systems on Tropical Curves [arxiv]
  Christian Haase, Gregg Musiker, and Josephine Yu
  Preprint, FU Berlin, September 2009, 28 pages.
• Examples of non-symmetric Kähler-Einstein toric Fano manifolds [arxiv]
  Benjamin Nill and Andreas Paffenholz
  Preprint, FU Berlin, May 2009, 7 pages.
• Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces II [arxiv ps]
  Christian Haase and Ilia Zharkov
  DUKE-CGTP-03-01
  Preprint, January 2003, 21 pages.
• Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I [arxiv ps]
  Christian Haase and Ilia Zharkov
  Preprint, May 2002, 26 pages.

Publications

• polymake and Lattice Polytopes [pdf ps arxiv]
  Michael Joswig, Benjamin Lorenz, and Andreas Paffenholz
  Preprint, FU Berlin, February 2009.
  Appeared in: DMTCS Proceedings of FPSAC 2009 , AK : 491 - 502 , 2009 .
• Lattice Polygons and the number 2i+7 [arxiv pdf talk]
  Christian Haase and Josef Schicho
  Preprint, FU Berlin, June 2004, 22 pages.
  Appeared in: American Mathematical Monthly , February: 151 - 165 , 2009.
• (Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones) [arxiv pdf]
  Matthias Beck, Christian Haase, and Frank Sottile
  Preprint, FU Berlin, June 2005, 10xxx pages.
  Appeared in: The Mathematical Intelligencer , 31:9-17, 2009.
• Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials [arxiv pdf ps]
  Christian Haase, Benjamin Nill, and Sam Payne
  Preprint, FU Berlin, April 2008.
  To appear in: Journal für die reine und angewandte Mathematik.
• Grid graphs, Gorenstein polytopes, and domino stackings [arxiv]
  Matthias Beck, Christian Haase, and Steven V. Sam
  Preprint, FU Berlin, 2007, 14 pages.
  To appear in: Graphs and Combinatorics .
• Lattice Points in Minkowski Sums [arxiv pdf ps]
  Christian Haase, Benjamin Nill, Andreas Paffenholz, and Francisco Santos
  Preprint, FU Berlin, 2007, 5 pages.
  Appeared in: Electronic Journal of Combinatorics , 15:#N11, 2008.
• Dedekind-Carlitz Polynomials as Lattice-Point Enumerators in Rational Polyhedra [arxiv pdf]
  Matthias Beck, Christian Haase, and Asia R. Matthews
  Preprint, FU Berlin, 2007, 13 pages.
  Appeared in: Mathematische Annalen, 341 : 945 - 961 , 2008 .
• Quasi-period collapse and GL(n,Z)-scissors congruence in rational polytopes [arxiv pdf]
  Christian Haase and Tyrrell McAllister
  Preprint, FU Berlin, 2007, 8 pages.
  Appeared in: Contemporary Mathematics , 452 : 115 - 122 , 2008 .
• On Fanos and Chimneys [pdf]
  Christian Haase and Andreas Paffenholz
  Preprint, FU Berlin, 2007, 3 pages.
  Appeared in: Oberwolfach Reports, in Report 39/2007 by Ben Howard:2303-2306.
• Gröbner Basis for Transportation Polytopes [arxiv pdf ps ]
  Christian Haase and Andreas Paffenholz
  Preprint, FU Berlin, June 2006, 11 pages.
  Appeared in: Journal of Algebraic Combinatorics , 30 ( 4 ): 477 - 489 , 2009 .
• On permutation polytopes [arxiv pdf www]
  Barbara Baumeister, Christian Haase, Benjamin Nill, and Andreas Paffenholz
  Preprint, FU Berlin, September 2007, 22 pages.
  Appeared in: Advances in Mathematics , 222 : 431-452 , 2009 .
• Constructions for 4-Polytopes and the Cone of Flag Vectors [arxiv pdf ps]
  Andreas Paffenholz and Axel Werner
  Preprint, FU Berlin, November 2005, 20 pages.
  Appeared in: Contemporary Mathematics , 423 : 283 - 303 , 2006 .
• Lattices generated by skeletons of reflexive polytopes [arxiv pdf ps]
  Christian Haase and Benjamin Nill
  Preprint, July 2005, 17 pages.
  Appeared in: Journal of Combinatorial Theory, Series A , 115:340-344, 2008.
• Integral affine structures on spheres: complete intersections [arxiv ps]
  Christian Haase and Ilia Zharkov
  DUKE-CGTP-05-03
  Preprint, April 05, 11 pages.
  Appeared in: IMRN , 2005(51):3153-3167, 2005.
• New polytopes from products [arxiv pdf ps]
  Andreas Paffenholz
  revised version
  Preprint, December 2005, 23 pages.
  Appeared in: Journal of Combinatorial Theory, Series A , 113 : 1396 - 1418 , 2006 .
• Problems from the Cottonwood Room [pdf]
  Matthias Beck, Beifang Chen, Lenny Fukshansky, Christian Haase, Allen Knutson, Bruce Reznick, Sinai Robins, and Achill Schürmann
  Preprint, September 2004, 13 pages.
  Appeared in: Contemporary Mathematics , 374:179-191, 2005.
• The reflexive dimension of a lattice polytope [arxiv pdf]
  Christian Haase and Ilarion Melnikov
  Preprint, June 2004, 9 pages.
  Appeared in: Annals of Combinatorics , 10:211-217, 2006.
• Polar decomposition and Brion's theorem [arxiv pdf]
  Christian Haase
  Preprint, December 2003, 11 pages.
  Appeared in: Contemporary Mathematics , 374:91-99, 2005.
• Bier spheres and posets [arxiv pdf ps]
  Anders Björner, Andreas Paffenholz, Jonas Sjöstrand, and Günter M. Ziegler
  Preprint, November 2003, 15 pages.
  Appeared in: Discrete and Computational Geometry , 34 ( 1 ): 71 - 86 , 2005 .
• The E_t-construction for lattices, spheres, and polytopes [arxiv pdf ps]
  Andreas Paffenholz and Günter M. Ziegler
  Preprint, April 2003, 21 pages.
  Appeared in: Discrete and Computational Geometry , 32 ( 4 ): 601 - 621 , 2004 .
• Examples and Counterexamples for the Perles Conjecture [arxiv edoc]
  Christian Haase and Günter Ziegler
  Preprint, November 2000, 11 pages.
  Appeared in: Discrete and Computational Geometry , 28(1):29-44, 2002.
• On the maximal width of empty lattice simplices [pdf]
  Christian Haase and Günter Ziegler
  Preprint, January 2000, 9 pages.
  Appeared in: European J. Combinatorics , 21(1):111-119, 2000.
• All toric l.c.i.-singularities admit projective crepant resolutions [arxiv ps]
  Dimitrios Dais, Christian Haase, and Günter Ziegler
  Preprint, December 1998, 13 pages.
  Appeared in: Tohôku Math. J. , 53(1):95-107, 2001.