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Publications - Lukas Braun
Mathematical Writings
Other Writings
- Fundamental groups, coregularity, and low dimensional klt Calabi-Yau pairs, with Fernando Figueroa, arXiv:2401.01315, submitted
- ODD Metrics, arXiv:2211.12088, submitted
- Reductive covers of klt varieties, with J. Moraga, Rev. Mat. Iberoam. 40 (5), 1701-1730 (2024)
- Reductive quotients of klt singularities, with D. Greb, K. Langlois, and J. Moraga, Invent. Math. 237 (3), 1643-1682 (2024)
- Iteration of Cox rings of klt singularities, with J. Moraga, Journal of Topology 17 (1), 71 pp. (2024)
- Orbifold Kähler-Einstein metrics on projective toric varieties, Bull. London Math. Soc. 50 (6), 2743-2748 (2023)
- The Jordan property for fundamental groups, with S. Filipazzi, J. Moraga, R. Svaldi, Geometry & Topology 26 (1), 283-319 (2022)
- Gorensteinness and iteration of cox rings for Fano type varieties, Mathematische Zeitschrift 301, 1047-1061 (2022)
- The local fundamental group of a Kawamata log terminal singularity is finite, Inventiones Mathematicae 226 (3), 845-896 (2021)
- Invariant rings of sums of fundamental representations of SLn and colored hypergraphs, Advances in Mathematics 389, paper no. 107929, 34 pp.
- Completing the classification of representations of SLn with complete intersection invariant ring, Transformation Groups 26 (1), 115-144 (2021)
- Canonical threefold singularities with a torus action of complexity one and k-empty polytopes, with D. Hättig, Rocky Mountain Journal of Mathematics 50 (3), 881-939 (2020)
- Hilbert series of the Grassmannian and k-Narayana numbers, Communications in Mathematics 27 (1), 27-41 (2019)
- Log-terminal singularities, platonic tuples and iteration of Cox rings, with I. Arzhantsev, J. Hausen, M. Wrobel, European Journal of Mathematics 4 (1), 242-312 (2018)
- ODD (Riemannian) Metrics, in Oberwolfach Report 18/2023, Komplexe Analysis - Differential and Algebraic
methods in Kähler spaces, 15–18 (2023) - Finiteness and klt singularities, in Oberwolfach Report 24/2020, Komplexe Analysis - Algebraicity and Transcendence, 1280–1283 (2020)
- Covariants of SL4(C) and incidence geometry of P3(C), in Journal of Physics: Conference Series 1194 (2019), 9 pp.
- Long-term monitoring (1953-2019) of geomorphically active sections on LIA lateral moraines under changing meteorological conditions, M. Altmann, M. Pfeiffer, F. Haas, J. Rom, F. Fleischer, T. Heckmann, L. Piermattei,
M. Wimmer, L. Braun, M. Stark, S. Betz-Nutz, and M. Becht, Earth Surf. Dynam., 12 (2024), 399–431.