Haase, Christian; Paffenholz, Andreas; Piechnik, Lindsey C.; Santos, Francisco Existence of unimodular triangulations – positive results. (English) Zbl 1479.52002 Memoirs of the American Mathematical Society 1321. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4716-8/pbk; 978-1-4704-6530-8/ebook). v, 83 p. (2021). Reviewer: Matthias Beck (San Francisco) MSC: 52-02 52B20 52B11 13F20 PDF BibTeX XML Cite \textit{C. Haase} et al., Existence of unimodular triangulations -- positive results. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1479.52002) Full Text: DOI arXiv OpenURL
Castillo, Federico; Liu, Fu; Nill, Benjamin; Paffenholz, Andreas Smooth polytopes with negative Ehrhart coefficients. (English) Zbl 1402.52017 J. Comb. Theory, Ser. A 160, 316-331 (2018). Reviewer: Irem Portakal (Magdeburg) MSC: 52B20 PDF BibTeX XML Cite \textit{F. Castillo} et al., J. Comb. Theory, Ser. A 160, 316--331 (2018; Zbl 1402.52017) Full Text: DOI arXiv OpenURL
Paffenholz, Andreas polyDB: a database for polytopes and related objects. (English) Zbl 1400.52001 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 533-547 (2017). MSC: 52-04 52B20 PDF BibTeX XML Cite \textit{A. Paffenholz}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 533--547 (2017; Zbl 1400.52001) Full Text: DOI arXiv OpenURL
Kastner, Lars; Lorenz, Benjamin; Paffenholz, Andreas; Winz, Anna-Lena Toric geometry in polymake. (English) Zbl 1408.14163 ACM Commun. Comput. Algebra 51, No. 3, 92-94 (2017). MSC: 14M25 68W30 PDF BibTeX XML Cite \textit{L. Kastner} et al., ACM Commun. Comput. Algebra 51, No. 3, 92--94 (2017; Zbl 1408.14163) Full Text: DOI OpenURL
Böckle, Gebhard (ed.); Decker, Wolfram (ed.); Malle, Gunter (ed.) Algorithmic and experimental methods in algebra, geometry, and number theory. (English) Zbl 1394.14002 Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). ix, 763 p. (2017). MSC: 14-06 13-06 11-06 14Qxx 13Pxx 11Yxx 00B15 PDF BibTeX XML Cite \textit{G. Böckle} (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (2017; Zbl 1394.14002) Full Text: DOI arXiv OpenURL
Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas Computing convex hulls and counting integer points with polymake. (English) Zbl 1370.90009 Math. Program. Comput. 9, No. 1, 1-38 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 90-08 52-04 PDF BibTeX XML Cite \textit{B. Assarf} et al., Math. Program. Comput. 9, No. 1, 1--38 (2017; Zbl 1370.90009) Full Text: DOI arXiv OpenURL
Paffenholz, Andreas Finiteness of the polyhedral \(\mathbb{Q}\)-codegree spectrum. (English) Zbl 1331.52021 Proc. Am. Math. Soc. 143, No. 11, 4863-4873 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 14M25 14C20 PDF BibTeX XML Cite \textit{A. Paffenholz}, Proc. Am. Math. Soc. 143, No. 11, 4863--4873 (2015; Zbl 1331.52021) Full Text: DOI arXiv OpenURL
Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal Finitely many smooth \(d\)-polytopes with \(n\) lattice points. (English) Zbl 1327.52020 Isr. J. Math. 207, Part 1, 301-329 (2015). Reviewer: Ignacio García Marco (Lyon) MSC: 52B20 14M25 PDF BibTeX XML Cite \textit{T. Bogart} et al., Isr. J. Math. 207, Part 1, 301--329 (2015; Zbl 1327.52020) Full Text: DOI arXiv OpenURL
Paffenholz, Andreas Faces of Birkhoff polytopes. (English) Zbl 1311.52015 Electron. J. Comb. 22, No. 1, Research Paper P1.67, 36 p. (2015). MSC: 52B12 52B05 52C07 PDF BibTeX XML Cite \textit{A. Paffenholz}, Electron. J. Comb. 22, No. 1, Research Paper P1.67, 36 p. (2015; Zbl 1311.52015) Full Text: arXiv Link OpenURL
Nill, Benjamin; Paffenholz, Andreas On the equality case in Ehrhart’s volume conjecture. (English) Zbl 1302.52010 Adv. Geom. 14, No. 4, 579-586 (2014). MSC: 52A38 PDF BibTeX XML Cite \textit{B. Nill} and \textit{A. Paffenholz}, Adv. Geom. 14, No. 4, 579--586 (2014; Zbl 1302.52010) Full Text: DOI arXiv OpenURL
Assarf, Benjamin; Joswig, Michael; Paffenholz, Andreas Smooth Fano polytopes with many vertices. (English) Zbl 1326.14123 Discrete Comput. Geom. 52, No. 2, 153-194 (2014). Reviewer: Ivan Limonchenko (Moskva) MSC: 14M25 52B20 14J45 PDF BibTeX XML Cite \textit{B. Assarf} et al., Discrete Comput. Geom. 52, No. 2, 153--194 (2014; Zbl 1326.14123) Full Text: DOI arXiv OpenURL
Di Rocco, Sandra; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas Polyhedral adjunction theory. (English) Zbl 1333.14010 Algebra Number Theory 7, No. 10, 2417-2446 (2013). Reviewer: Christos Tatakis (Mitilini) MSC: 14C20 14M25 52B20 PDF BibTeX XML Cite \textit{S. Di Rocco} et al., Algebra Number Theory 7, No. 10, 2417--2446 (2013; Zbl 1333.14010) Full Text: DOI arXiv OpenURL
Assarf, Benjamin; Joswig, Michael; Paffenholz, Andreas On a classification of smooth Fano polytopes. (English) Zbl 1295.52014 Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 421-432, electronic only (2013). MSC: 52B11 52B20 14M25 14J45 PDF BibTeX XML Cite \textit{B. Assarf} et al., in: Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24--28, 2013. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 421--432 (2013; Zbl 1295.52014) Full Text: Link OpenURL
Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. (English) Zbl 1281.05001 Discrete Mathematics and Theoretical Computer Science. Proceedings. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). 1172 p., electronic only, open access (2013). MSC: 05-06 05B35 05Exx 00B25 PDF BibTeX XML Cite Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24--28, 2013. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS) (2013; Zbl 1281.05001) Full Text: Link OpenURL
Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas Permutation polytopes of cyclic groups. (English. French summary) Zbl 1417.52012 Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 421-432 (2012). MSC: 52B05 PDF BibTeX XML Cite \textit{B. Baumeister} et al., in: Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30--August 3, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 421--432 (2012; Zbl 1417.52012) Full Text: arXiv Link OpenURL
Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. (English) Zbl 1257.05001 Discrete Mathematics and Theoretical Computer Science. Proceedings. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). 991 p., electronic only, open access (2012). MSC: 05-06 05B35 05Exx 00B25 PDF BibTeX XML Cite Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30--August 3, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS) (2012; Zbl 1257.05001) Full Text: Link OpenURL
Joswig, Michael; Paffenholz, Andreas Defect polytopes and counter-examples with polymake. (English) Zbl 1308.68176 ACM Commun. Comput. Algebra 45, No. 4, 177-179 (2011). MSC: 68W30 14M25 52B20 52B55 PDF BibTeX XML Cite \textit{M. Joswig} and \textit{A. Paffenholz}, ACM Commun. Comput. Algebra 45, No. 3, 177--179 (2011; Zbl 1308.68176) Full Text: DOI arXiv OpenURL
Nill, Benjamin; Paffenholz, Andreas Examples of Kähler-Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes. (English) Zbl 1225.14042 Beitr. Algebra Geom. 52, No. 2, 297-304 (2011). Reviewer: G. K. Sankaran (Bath) MSC: 14M25 14J45 32Q20 52B20 53C25 PDF BibTeX XML Cite \textit{B. Nill} and \textit{A. Paffenholz}, Beitr. Algebra Geom. 52, No. 2, 297--304 (2011; Zbl 1225.14042) Full Text: DOI arXiv OpenURL
Haase, Christian; Lorenz, Benjamin; Paffenholz, Andreas Generating smooth lattice polytopes. (English) Zbl 1295.52019 Fukuda, Komei (ed.) et al., Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). Lecture Notes in Computer Science 6327, 315-328 (2010). MSC: 52B55 52-04 52B20 PDF BibTeX XML Cite \textit{C. Haase} et al., Lect. Notes Comput. Sci. 6327, 315--328 (2010; Zbl 1295.52019) Full Text: DOI OpenURL
Fukuda, Komei (ed.); van der Hoeven, Joris (ed.); Joswig, Michael (ed.); Takayama, Nobuki (ed.) Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. (English) Zbl 1196.68008 Lecture Notes in Computer Science 6327. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). xvi, 368 p. (2010). MSC: 68-06 65-06 00B25 PDF BibTeX XML Cite \textit{K. Fukuda} (ed.) et al., Mathematical software -- ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13--17, 2010. Proceedings. Berlin: Springer (2010; Zbl 1196.68008) Full Text: DOI OpenURL
Joswig, Michael; Müller, Benjamin; Paffenholz, Andreas polymake and lattice polytopes. (English) Zbl 1391.52019 Krattenthaler, Christian (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 491-502 (2009). MSC: 52B55 05B20 PDF BibTeX XML Cite \textit{M. Joswig} et al., in: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 491--502 (2009; Zbl 1391.52019) Full Text: arXiv Link OpenURL
Krattenthaler, Christian (ed.); Strehl, Volker (ed.); Kauers, Manuel (ed.) Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. (English) Zbl 1196.05001 Discrete Mathematics and Theoretical Computer Science. Proceedings. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). 926 p., electronic only, open access (2009). MSC: 05-06 33-06 68-06 00B25 PDF BibTeX XML Cite \textit{C. Krattenthaler} (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS) (2009; Zbl 1196.05001) Full Text: Link OpenURL
Haase, Christian; Paffenholz, Andreas Quadratic Gröbner bases for smooth \(3\times 3\) transportation polytopes. (English) Zbl 1200.13046 J. Algebr. Comb. 30, No. 4, 477-489 (2009). Reviewer: Gabor Hetyei (Charlotte) MSC: 13P10 52B99 PDF BibTeX XML Cite \textit{C. Haase} and \textit{A. Paffenholz}, J. Algebr. Comb. 30, No. 4, 477--489 (2009; Zbl 1200.13046) Full Text: DOI arXiv OpenURL
Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas On permutation polytopes. (English) Zbl 1185.52006 Adv. Math. 222, No. 2, 431-452 (2009). Reviewer: Matthias Beck (San Francisco) MSC: 52B05 05A05 15A15 52B12 PDF BibTeX XML Cite \textit{B. Baumeister} et al., Adv. Math. 222, No. 2, 431--452 (2009; Zbl 1185.52006) Full Text: DOI arXiv OpenURL
Haase, Christian; Nill, Benjamin; Paffenholz, Andreas; Santos, Francisco Lattice points in Minkowski sums. (English) Zbl 1160.52009 Electron. J. Comb. 15, No. 1, Research Paper N11, 5 p. (2008). MSC: 52B20 14M25 PDF BibTeX XML Cite \textit{C. Haase} et al., Electron. J. Comb. 15, No. 1, Research Paper N11, 5 p. (2008; Zbl 1160.52009) Full Text: arXiv EuDML EMIS OpenURL
Haase, Christian (ed.); Hibi, Takayuki (ed.); Maclagan, Diane (ed.) Mini-workshop: Projective normality of smooth toric varieties. Abstracts from the mini-workshop held August 12–18, 2007. (English) Zbl 1177.14017 Oberwolfach Rep. 4, No. 3, 2283-2320 (2007). MSC: 14-06 52-06 14M25 52B20 00B05 PDF BibTeX XML Cite \textit{C. Haase} (ed.) et al., Oberwolfach Rep. 4, No. 3, 2283--2320 (2007; Zbl 1177.14017) Full Text: DOI Link OpenURL
Paffenholz, Andreas; Werner, Axel Constructions for 4-polytopes and the cone of flag vectors. (English) Zbl 1123.52005 Athanasiadis, Christos A. (ed.) et al., Algebraic and geometric combinatorics. Euroconference in mathematics, algebraic and geometric combinatorics, Anogia, Crete, Greece, August 20–26, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4080-0/pbk). Contemporary Mathematics 423, 283-303 (2006). Reviewer: Egon Schulte (Boston) MSC: 52B05 52B12 PDF BibTeX XML Cite \textit{A. Paffenholz} and \textit{A. Werner}, Contemp. Math. 423, 283--303 (2006; Zbl 1123.52005) Full Text: arXiv OpenURL
Altmann, Klaus (ed.); Batyrev, Victor (ed.); Teissier, Bernard (ed.) Report 5/2006: Convex and Algebraic Geometry (January 29th – February 4th, 2006). (English) Zbl 1110.14300 Oberwolfach Rep. 3, No. 1, 253-316 (2006). MSC: 14-06 52-06 00B05 14M25 52B20 14J32 14D06 14L30 14N35 33C70 14J45 16G20 PDF BibTeX XML Cite \textit{K. Altmann} (ed.) et al., Oberwolfach Rep. 3, No. 1, 253--316 (2006; Zbl 1110.14300) Full Text: DOI Link OpenURL
Athanasiadis, Christos A. (ed.); Batyrev, Victor V. (ed.); Dais, Dimitrios I. (ed.); Henk, Martin (ed.); Santos, Francisco (ed.) Algebraic and geometric combinatorics. Euroconference in mathematics, algebraic and geometric combinatorics, Anogia, Crete, Greece, August 20–26, 2005. (English) Zbl 1108.05003 Contemporary Mathematics 423. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4080-0/pbk). xiii, 324 p. (2006). MSC: 05-06 52-06 00B25 PDF BibTeX XML Cite \textit{C. A. Athanasiadis} (ed.) et al., Algebraic and geometric combinatorics. Euroconference in mathematics, algebraic and geometric combinatorics, Anogia, Crete, Greece, August 20--26, 2005. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1108.05003) Full Text: DOI OpenURL
Paffenholz, Andreas New polytopes from products. (English) Zbl 1106.52003 J. Comb. Theory, Ser. A 113, No. 7, 1396-1418 (2006). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52B11 PDF BibTeX XML Cite \textit{A. Paffenholz}, J. Comb. Theory, Ser. A 113, No. 7, 1396--1418 (2006; Zbl 1106.52003) Full Text: DOI arXiv OpenURL
Paffenholz, Andreas Constructions for posets, lattices, and polytopes. (English) Zbl 1244.52001 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 208 p. (2005). MSC: 52-02 52B20 06A07 52B05 PDF BibTeX XML Cite \textit{A. Paffenholz}, Constructions for posets, lattices, and polytopes. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2005; Zbl 1244.52001) Full Text: Link OpenURL
Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M. Bier spheres and posets. (English) Zbl 1079.52006 Discrete Comput. Geom. 34, No. 1, 71-86 (2005). Reviewer: Peter McMullen (London) MSC: 52B05 52B22 52B12 PDF BibTeX XML Cite \textit{A. Björner} et al., Discrete Comput. Geom. 34, No. 1, 71--86 (2005; Zbl 1079.52006) Full Text: DOI arXiv OpenURL
Paffenholz, Andreas; Ziegler, Günter M. The \(E_t\)-construction for lattices, spheres and polytopes. (English) Zbl 1109.52009 Discrete Comput. Geom. 32, No. 4, 601-621 (2004). Reviewer: Michael Ian Hartley (Semenyih) MSC: 52B05 52B11 52C07 PDF BibTeX XML Cite \textit{A. Paffenholz} and \textit{G. M. Ziegler}, Discrete Comput. Geom. 32, No. 4, 601--621 (2004; Zbl 1109.52009) Full Text: DOI arXiv OpenURL