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Stellar subdivisions, wedges and Buchstaber numbers

Suyoung Choi and Hyeontae Jang

Algebraic & Geometric Topology 26 (2026) 751–759
Bibliography
1 A Bahri, M Bendersky, F R Cohen, S Gitler, Operations on polyhedral products and a new topological construction of infinite families of toric manifolds, Homology Homotopy Appl. 17 (2015) 137 MR3426378
2 V M Buchstaber, T E Panov, Toric topology, 204, Amer. Math. Soc. (2015) MR3363157
3 S Choi, H Jang, M Vallée, The characterization of (n1)-spheres with n + 4 vertices having maximal Buchstaber number, J. Reine Angew. Math. 811 (2024) 267 MR4751123
4 S Choi, H Park, Wedge operations and torus symmetries, Tohoku Math. J. (2) 68 (2016) 91 MR3476138
5 S Choi, H Park, Wedge operations and torus symmetries, II, Canad. J. Math. 69 (2017) 767 MR3679694
6 M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
7 N Y Erokhovets, Moment-angle manifolds of simple n-dimensional polytopes with n + 3 facets, Uspekhi Mat. Nauk 66 (2011) 187 MR2919276
8 N Y Erokhovets, Buchstaber invariant theory of simplicial complexes and convex polytopes, Proc. Steklov Inst. Math. 286 (2014) 128 MR3482595
9 G Ewald, Spherical complexes and nonprojective toric varieties, Discrete Comput. Geom. 1 (1986) 115 MR834053
10 G Ewald, Combinatorial convexity and algebraic geometry, 168, Springer (1996) MR1418400
11 G Ewald, G C Shephard, Stellar subdivisions of boundary complexes of convex polytopes, Math. Ann. 210 (1974) 7 MR350623
12 J Gretenkort, P Kleinschmidt, B Sturmfels, On the existence of certain smooth toric varieties, Discrete Comput. Geom. 5 (1990) 255 MR1036874
13 S Hasui, On the classification of quasitoric manifolds over dual cyclic polytopes, Algebr. Geom. Topol. 15 (2015) 1387 MR3361140
14 H Ishida, Y Fukukawa, M Masuda, Topological toric manifolds, Mosc. Math. J. 13 (2013) 57, 189 MR3112216
15 P Mani, Spheres with few vertices, J. Combinatorial Theory Ser. A 13 (1972) 346 MR317175
16 H Park, Wedge operations and doubling operations of real toric manifolds, Chinese Ann. Math. Ser. B 38 (2017) 1321 MR3721704
17 Y M Ustinovskii, The toral rank conjecture for moment-angle complexes, Mat. Zametki 90 (2011) 300 MR2918445