Lukas Kühne

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All published works

Action	Title	Year	Authors
+	DYNAMICAL SYSTEMS ON SOME ELLIPTIC MODULAR SURFACES VIA OPERATORS ON LINE ARRANGEMENTS	2025	Lukas Kühne Xavier Roulleau
+	Matroids	2025	Daniel Corey Lukas Kühne Benjamin Schröter
+ PDF Chat	Arrangements and Likelihood	2024	Thomas Kahle Lukas Kühne Leonie Mühlherr Bernd Sturmfels M. Wiesmann
+ PDF Chat	Combinatorial invariants of finite metric spaces and the Wasserstein arrangement	2024	Emanuele Delucchi Lukas Kühne Leonie Mühlherr
+ PDF Chat	Most $q$-matroids are not representable	2024	Sebastian Degen Lukas Kühne
+ PDF Chat	On the numerical Terao's conjecture and Ziegler pairs for line arrangements	2024	Lukas Kühne Dante Luber Piotr Pokora
+	Faces of cosmological polytopes	2024	Lukas Kühne Leonid Monin
+ PDF Chat	Line arrangements with many triple points	2024	Lukas Kühne Tomasz Szemberg Halszka Tutaj‐Gasińska
+ PDF Chat	Dynamical systems on some elliptic modular surfaces via operators on line arrangements	2024	Lukas Kühne Xavier Roulleau
+ PDF Chat	Line arrangements with many triple points	2024	Lukas Kühne Tomasz Szemberg Halszka Tutaj‐Gasińska
+ PDF Chat	On arrangements of hyperplanes from connected subgraphs	2023	Michael Cuntz Lukas Kühne
+ PDF Chat	Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries	2023	Taylor Brysiewicz Holger Eble Lukas Kühne
+ PDF Chat	On the geometry of flag Hilbert–Poincaré series for matroids	2023	Lukas Kühne Joshua Maglione
+ PDF Chat	The Universality of the Resonance Arrangement and Its Betti Numbers	2023	Lukas Kühne
+ PDF Chat	Von Staudt constructions for skew-linear and multilinear matroids	2023	Lukas Kühne Rudi Pendavingh Geva Yashfe
+ PDF Chat	Likelihood degenerations	2023	Daniele Agostini Taylor Brysiewicz Claudia Fevola Lukas Kühne Bernd Sturmfels Simon Telen Thomas Lam
+	Projective dimension of weakly chordal graphic arrangements	2023	Takuro Abe Lukas Kühne Paul Mücksch Leonie Mühlherr
+	Matroids in OSCAR	2023	Daniel Corey Lukas Kühne Benjamin Schröter
+	Regular polygons, line operators, and elliptic modular surfaces as realization spaces of matroids	2023	Lukas Kühne Xavier Roulleau
+	Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture	2022	Mohamed Barakat Lukas Kühne
+ PDF Chat	Representability of matroids by c-arrangements is undecidable	2022	Lukas Kühne Geva Yashfe
+	On entropic and almost multilinear representability of matroids	2022	Lukas Kühne Geva Yashfe
+	On arrangements of hyperplanes from connected subgraphs	2022	Michael Cuntz Lukas Kühne
+	Faces of Cosmological Polytopes	2022	Lukas Kühne Leonid Monin
+ PDF Chat	On the geometry of flag Hilbert-Poincar\'e series for matroids	2021	Lukas Kühne Joshua Maglione
+	Enumerating chambers of hyperplane arrangements with symmetry	2021	Taylor Brysiewicz Holger Eble Lukas Kühne
+ PDF Chat	Locally heavy hyperplanes in multiarrangements	2021	Takuro Abe Lukas Kühne
+ PDF Chat	On the Generation of Rank 3 Simple Matroids with an Application to Terao's Freeness Conjecture	2021	Mohamed Barakat Reimer Behrends Christopher Jefferson Lukas Kühne Martin Leuner
+	Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture	2021	Mohamed A. Barakat Lukas Kühne
+	Computing characteristic polynomials of hyperplane arrangements with symmetries	2021	Taylor Brysiewicz Holger Eble Lukas Kühne
+	On the geometry of flag Hilbert-Poincaré series for matroids	2021	Lukas Kühne Joshua Maglione
+	Likelihood Degenerations	2021	Daniele Agostini Taylor Brysiewicz Claudia Fevola Lukas Kühne Bernd Sturmfels Simon Telen
+	Von Staudt Constructions for Skew-Linear and Multilinear Matroids	2020	Lukas Kühne Rudi Pendavingh Geva Yashfe
+	The Universality of the Resonance Arrangement and its Betti Numbers	2020	Lukas Kühne
+	On the generation of rank 3 simple matroids with an application to Terao's freeness conjecture	2019	Mohamed Barakat Reimer Behrends Christopher Jefferson Lukas Kühne Martin Leuner
+	Locally Heavy Hyperplanes in Multiarrangements	2019	Takuro Abe Lukas Kühne
+	Representability of Matroids by c-Arrangements is Undecidable	2019	Lukas Kühne Geva Yashfe
+ PDF Chat	Heavy hyperplanes in multiarrangements and their freeness	2017	Takuro Abe Lukas Kühne
+	Freeness of hyperplane arrangements with multiplicities	2015	Lukas Kühne

Common Coauthors

Coauthor	Papers Together
Geva Yashfe	5
Taylor Brysiewicz	5
Takuro Abe	4
Xavier Roulleau	3
Bernd Sturmfels	3
Joshua Maglione	3
Mohamed Barakat	3
Holger Eble	3
Claudia Fevola	2
Rudi Pendavingh	2
Reimer Behrends	2
Benjamin Schröter	2
Martin Leuner	2
Tomasz Szemberg	2
Simon Telen	2
Christopher Jefferson	2
Halszka Tutaj‐Gasińska	2
Michael Cuntz	2
Leonid Monin	2
Daniel Corey	2
Leonie Mühlherr	2
Sebastian Degen	1
Mohamed A. Barakat	1
Leonie Mühlherr	1
Thomas Lam	1
M. Wiesmann	1
Dante Luber	1
Daniele Agostini	1
Daniele Agostini	1
Thomas Kahle	1
Paul Mücksch	1
Piotr Pokora	1
Emanuele Delucchi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Arrangements of Hyperplanes	1992	Peter Orlik Hiroaki Terao	8
+ PDF Chat	Freeness of hyperplane arrangements and related topics	2014	Masahiko Yoshinaga	5
+ PDF Chat	Divisionally free arrangements of hyperplanes	2015	Takuro Abe	5
+ PDF Chat	Free arrangements and coefficients of characteristic polynomials	2013	Takuro Abe Masahiko Yoshinaga	4
+	Arrangements of hyperplanes and their freeness I	1980	Hiroaki Terao	4
+	Minimal and canonical images	2018	Christopher Jefferson Eliza Jonauskyte Markus Pfeiffer Rebecca Waldecker	4
+ PDF Chat	Restrictions of Free Arrangements and the Division Theorem	2017	Takuro Abe	4
+	ON THE FREENESS OF 3-ARRANGEMENTS	2005	Masahiko Yoshinaga	4
+	Freeness for 13 lines arrangements is combinatorial	2019	Alexandru Dimca Denis Ibadula Anca Măcinic	3
+	polymake: a Framework for Analyzing Convex Polytopes	2000	Ewgenij Gawrilow Michael Joswig	3
+	Facing up to arrangements: face-count formulas for partitions of space by hyperplanes	1975	Thomas Zasĺavsky	3
+ PDF Chat	The Euler multiplicity and addition–deletion theorems for multiarrangements	2008	Takuro Abe Hiroaki Terao Max Wakefield	3
+	A formula for the characteristic polynomial of an arrangement	1987	Louis Solomon Hiroaki Terao	3
+	Ranking patterns of unfolding models of codimension one	2010	Hidehiko Kamiya Akimichi Takemura Hiroaki Terao	3
+ PDF Chat	On Intersection Lattices of Hyperplane Arrangements Generated by Generic Points	2012	Hiroshi Koizumi Yasuhide Numata Akimichi Takemura	3
+ PDF Chat	Characterization of a free arrangement and conjecture of Edelman and Reiner	2004	Masahiko Yoshinaga	3
+	Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture	2022	Mohamed Barakat Lukas Kühne	3
+ PDF Chat	The characteristic polynomial of a multiarrangement	2007	Takuro Abe Hiroaki Terao Max Wakefield	3
+	The universality theorems on the classification problem of configuration varieties and convex polytopes varieties	1988	Nikolai Mnëv	3
+ PDF Chat	On the Exponents of 2-Multiarrangements	2007	Atsushi Wakamiko	3
+ PDF Chat	AN AXIOMATIC SETUP FOR ALGORITHMIC HOMOLOGICAL ALGEBRA AND AN ALTERNATIVE APPROACH TO LOCALIZATION	2011	Mohamed Barakat Markus Lange‐Hegermann	3
+ PDF Chat	Scattering equations: from projective spaces to tropical grassmannians	2019	Freddy Cachazo Nick Early Alfredo Guevara Sebastian Mizera	3
+	Non-recursive freeness and non-rigidity	2016	Takuro Abe Michael Cuntz Hiraku Kawanoue Takeshi Nozawa	3
+ PDF Chat	Root Cones and the Resonance Arrangement	2021	Samuel C. Gutekunst Karola Mészáros T. Kyle Petersen	3
+	Theory of logarithmic differential forms and logarithmic vector fields	1980	Kyoji Saito	3
+	Counting chambers in restricted Coxeter arrangements	2019	Tilman Möller Gerhard Röhrle	2
+ PDF Chat	Traversing Symmetric Polyhedral Fans	2010	Anders Jensen	2
+	Parallel Enumeration of Triangulations	2018	Charles Jordan Michael Joswig Lars Kastner	2
+ PDF Chat	Combinatorial simpliciality of arrangements of hyperplanes	2014	Michael Cuntz David Geis	2
+ PDF Chat	Roots of characteristic polynomials and intersection points of line arrangements	2014	Takuro Abe	2
+ PDF Chat	Minimal fields of definition for simplicial arrangements in the real projective plane	2011	Michael Cuntz	2
+	Perspectives on Projective Geometry	2011	Jürgen Richter-Gebert	2
+ PDF Chat	On the Extendability of Free Multiarrangements	2009	Masahiko Yoshinaga	2
+ PDF Chat	Supersolvable lattices	1972	Richard P. Stanley	2
+	Asymptotics of symmetry in matroids	2018	Rudi Pendavingh Jorn van der Pol	2
+ PDF Chat	Geometry of the restricted Boltzmann machine	2010	María Angélica Cueto Jason Morton Bernd Sturmfels	2
+	Characteristic Polynomials of Subspace Arrangements and Finite Fields	1996	Christos A. Athanasiadis	2
+ PDF Chat	Logarithmic bundles and line arrangements, an approach via the standard construction	2014	Daniele Faenzi Jean Vallès	2
+	Deformations of Coxeter Hyperplane Arrangements	2000	Alexander Postnikov Richard P. Stanley	2
+ PDF Chat	The broken-circuit complex	1977	Tom Brylawski	2
+	Note on Independence Functions	1957	R. Rado	2
+	Graphs whose flow polynomials have only integral roots	2011	Joseph P. S. Kung Gordon Royle	2
+	What is being calculated with Thermal Field Theory?	1994	Tim Evans	2
+	On a combinatorial problem	1948	FA Dick de Bruijn P. Erdős	2
+ PDF Chat	Projection Volumes of Hyperplane Arrangements	2011	Caroline J. Klivans Ed Swartz	2
+ PDF Chat	Julia: A Fresh Approach to Numerical Computing	2017	Jeff Bezanson Alan Edelman Stefan Karpinski Viral B. Shah	2
+ PDF Chat	On the Index Coding Problem and Its Relation to Network Coding and Matroid Theory	2010	Salim El Rouayheb Alex Sprintson C.N. Georghiades	2
+ PDF Chat	On the decidability of Diophantine problems in combinatorial geometry	1987	Bernd Sturmfels	2
+ PDF Chat	Hyperplane arrangements and Lefschetz's hyperplane section theorem	2007	Masahiko Yoshinaga	2
+ PDF Chat	Polyhedral representation conversion up to symmetries	2009	David Avis Mathieu Dutour Sikirić Annette Schürmann	2