PUB - Publikationen an der Universität Bielefeld

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• [23]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982635

  Abe, Takuro, Kühne, Lukas, Mücksch, Paul, and Mühlherr, Leonie. “Projective dimension of weakly chordal graphic arrangements”. Algebraic Combinatorics 8.1 (2025).

  PUB | DOI | WoS | arXiv | Preprint
   
• [22]
  

  2025 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 3000583

  Kühne, Lukas, and Roulleau, Xavier. “Dynamical systems on some elliptic modular surfaces via operators on line arrangements”. Nagoya Mathematical Journal (2025).

  PUB | DOI | WoS
   
• [21]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3000423

  Early, Nick, Kühne, Lukas, and Monin, Leonid. “When alcoved polytopes add”. arXiv:2501.17249 (2025).

  PUB | DOI | arXiv
   
• [20]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2999715

  Kahle, Thomas, Kühne, Lukas, Mühlherr, Leonie, Sturmfels, Bernd, and Wiesmann, Maximilian. “Arrangements and Likelihood”. arxiv.org/abs/2411.09508 (2024).

  PUB | DOI | arXiv
   
• [19]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992423

  Delucchi, Emanuele, Kühne, Lukas, and Mühlherr, Leonie. “Combinatorial invariants of finite metric spaces and the Wasserstein arrangement”. arXiv.2408.15584 (2024).

  PUB | DOI | arXiv
   
• [18]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992422

  Degen, Sebastian, and Kühne, Lukas. “Most $q$-matroids are not representable”. arXiv:2408.06795 (2024).

  PUB | DOI | arXiv
   
• [17]
  

  2024 | Preprint | PUB-ID: 2991352

  Kühne, Lukas, Luber, Dante, and Pokora, Piotr. “On the numerical Terao's conjecture and Ziegler pairs for line arrangements”. arXiv:2407.07070 (2024).

  PUB | arXiv
   
• [16]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2986980

  Kühne, Lukas, Szemberg, Tomasz, and Tutaj-Gasińska, Halszka. “Line arrangements with many triple points”. Rendiconti del Circolo Matematico di Palermo Series 2 (2024).

  PUB | DOI | WoS | arXiv | Preprint
   
• [15]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982622

  Kühne, Lukas, and Maglione, Joshua. “On the geometry of flag Hilbert–Poincaré series for matroids”. Algebraic Combinatorics 6.3 (2023): 623-638.

  PUB | DOI | WoS | arXiv
   
• [14]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982920

  Brysiewicz, Taylor, Eble, Holger, and Kühne, Lukas. “Computing characteristic polynomials of hyperplane arrangements with symmetries”. Discrete and Computational Geometry 70 (2023): 1356–1377.

  PUB | PDF | DOI | WoS | arXiv
   
• [13]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982148

  Kühne, Lukas. “The Universality of the Resonance Arrangement and Its Betti Numbers”. Combinatorica 43.2 (2023): 277-298.

  PUB | PDF | DOI | WoS | arXiv
   
• [12]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2984598

  Corey, Daniel, Kühne, Lukas, and Schröter, Benjamin. “Matroids in OSCAR”. arXiv:2311.08792 (2023).

  PUB | DOI | arXiv
   
• [11]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2985765

  Kühne, Lukas, and Roulleau, Xavier. “Regular polygons, line operators, and elliptic modular surfaces as realization spaces of matroids”. (2023).

  PUB | DOI | arXiv
   
• [10]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982621

  Kühne, Lukas, Pendavingh, Rudi, and Yashfe, Geva. “Von Staudt Constructions for Skew-Linear and Multilinear Matroids”. Combinatorial Theory 3.1 (2023): 16.

  PUB | DOI | arXiv
   
• [9]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979706

  Agostini, Daniele, Brysiewicz, Taylor, Fevola, Claudia, Kühne, Lukas, Sturmfels, Bernd, Telen, Simon, and Lam, Thomas. “Likelihood degenerations”. Advances in Mathematics 414 (2023): 108863.

  PUB | DOI | WoS | arXiv
   
• [8]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2969558

  Barakat, Mohamed, and Kühne, Lukas. “Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture”. Mathematics of Computation 92 (2023): 1413-1452.

  PUB | DOI | WoS | arXiv
   
• [7]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982146

  Abe, Takuro, and Kühne, Lukas. “Locally heavy hyperplanes in multiarrangements”. Journal of Pure and Applied Algebra 226.1 (2022): 106791.

  PUB | DOI | arXiv
   
• [6]
  

  2022 | Preprint | Eingereicht | PUB-ID: 2982637

  Kühne, Lukas, and Monin, Leonid. “Faces of Cosmological Polytopes”. ArXiv: 2209.08069 (Submitted).

  PUB | DOI | arXiv
   
• [5]
  

  2022 | Preprint | Eingereicht | PUB-ID: 2982640

  Kühne, Lukas, and Yashfe, Geva. “On entropic and almost multilinear representability of matroids”. ArXiv: 2206.03465 (Submitted).

  PUB | DOI | arXiv
   
• [4]
  

  2022 | Preprint | Eingereicht | PUB-ID: 2982638

  Cuntz, Michael, and Kühne, Lukas. “On arrangements of hyperplanes from connected subgraphs”. arXiv: 2208.09251 (Submitted).

  PUB | DOI | arXiv
   
• [3]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982147

  Kühne, Lukas, and Yashfe, Geva. “Representability of matroids by c-arrangements is undecidable”. Israel Journal of Mathematics 252.1 (2022): 95-147.

  PUB | DOI | arXiv
   
• [2]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982145

  Barakat, Mohamed, Behrends, Reimer, Jefferson, Christopher, Kühne, Lukas, and Leuner, Martin. “On the Generation of Rank 3 Simple Matroids with an Application to Terao's Freeness Conjecture”. SIAM Journal on Discrete Mathematics 35.2 (2021): 1201-1223.

  PUB | DOI | arXiv
   
• [1]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982056

  Abe, Takuro, and Kühne, Lukas. “Heavy hyperplanes in multiarrangements and their freeness”. Journal of Algebraic Combinatorics 48.4 (2018): 581-606.

  PUB | DOI | arXiv