期刊文献+

循环多胞形C^3(6)的对偶和单形乘积上的小覆盖 被引量:1

Small Covers over Products of the Polar of the Cyclic Polytope C^3(6) with a Simplex
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摘要 计算了循环多胞形C^3(6)的对偶和单形乘积上(可定向)小覆盖的等变同胚类的个数. The authors calculate the number of equivariant homeomorphism classes of (orientable) small covers over products of the polar of the cyclic polytope C^3(6) with a simplex.
出处 《数学年刊(A辑)》 CSCD 北大核心 2013年第3期355-364,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10971050 No.11201126) 河北省自然科学基金(No.A2011205075 No.A2010000351) 河南师范大学博士科研启动课题(No.11101)的资助
关键词 小覆盖 等变同胚 多胞形 着色 Small cover, Equivariant homeomorphism, Polytope, Coloring
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参考文献10

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二级参考文献8

  • 1Davis M, Januszkiewicz T. Convex polytopes, Coxeter orbifolds and torus actions [J]. Duke Math J, 1991, 62:417-451.
  • 2Lu Z, Masuda M. Equivariant classification of 2-torus manifolds [J]. Colloq Math, 2009, 115:171-188.
  • 3Cai M, Chen X, Lii Z. Small covers over prisms [J]. Topology and Its Applications, 2007, 154:2228-2234.
  • 4Choi S. The number of small covers over cubes [J]. Algebr Geom Topol, 2008, 8:2391- 2399.
  • 5Nakayama H, Nishimura Y. The orientability of small covers and coloring simple poly- topes [J]. Osaka J Math, 2005, 42:243-256.
  • 6Choi S. The number of orientable small covers over cubes [J]. Proc Japa Acad Ser A, 2010, 86(6):97-100.
  • 7Ziegler G M. Lectures on polytopes [M] //Graduate Texts in Math. Berlin: Springer- Verlag, 1994.
  • 8Alperin J L, Bell R B. Groups and representations [M]//Graduate Texts in Mathematics 162, Berlin: Springer-Verlag, 1995.

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