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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 326, Pages 26–42
DOI: https://doi.org/10.4213/tm4402 (Mi tm4402) 		 
Mod $p$ Buchstaber invariant

D. B. Baralića, A. Vavpetičbc, A. Vučićd

a Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrad
b University of Ljubljana, Faculty of Mathematics and Physics
c Institute of Mathematics, Physics and Mechanics, Ljubljana
d University of Belgrade, Faculty of Mathematics
Full-text PDF (325 kB) First page
DOI: https://doi.org/10.4213/tm4402
Abstract: We investigate the mod $p$ Buchstaber invariant of the skeleta of simplices for a prime number $p$ and compare them for different values of $p$. For $p=2$, the invariant is the real Buchstaber invariant. Our findings reveal that these values are generally distinct. Additionally, we determine or estimate the mod $p$ Buchstaber invariants of certain universal simplicial complexes $X(\mathbb F_p^n)$.
Keywords: Buchstaber invariant, simplicial complex, the universal complex, toric topology.
Funding agency Grant number
Slovenian Research Agency P1-0292
J1-4031
All three authors were partially supported by the bilateral project ‘Discrete Morse theory and its applications’ funded by the Ministry of Education and Science of the Republic of Serbia and the Ministry of Education, Science and Sport of the Republic of Slovenia as a part of bilateral cooperation between two countries (2020-2021). The second author was supported by the Slovenian Research and Innovation Agency program P1-0292 and the grant J1-4031.
Received: December 4, 2023
Revised: March 26, 2024
Accepted: June 7, 2024
Document Type: Article
Language: Russian
Citation: D. B. Baralić, A. Vavpetič, A. Vučić, “Mod $p$ Buchstaber invariant”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024, 26–42
Citation in format AMSBIB
\Bibitem{BarVavVuc24}
\by D.~B.~Barali{\'c}, A.~Vavpeti{\v{c}}, A.~Vu{\v{c}}i\'c
\paper Mod $p$ Buchstaber invariant
\inbook Topology, Geometry, Combinatorics, and Mathematical Physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 326
\pages 26--42
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4402}
\crossref{https://doi.org/10.4213/tm4402}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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