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Volumn 46, Issue 3, 2011, Pages 417-426

Projection Volumes of Hyperplane Arrangements

Author keywords

Angle sum; Characteristic polynomial; Hyperplane arrangement; Zonotope

Indexed keywords


EID: 80051804182     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-011-9363-7     Document Type: Article
Times cited : (31)

References (13)
  • 1
    • 41549103892 scopus 로고    scopus 로고
    • Vector spaces spanned by the angle sums of polytopes
    • Camenga, K.: Vector spaces spanned by the angle sums of polytopes. Beiträge Algebra Geom. 47(2), 447-462 (2006).
    • (2006) Beiträge Algebra Geom. , vol.47 , Issue.2 , pp. 447-462
    • Camenga, K.1
  • 2
    • 84887218221 scopus 로고    scopus 로고
    • A Curios Identity and the Volume of the Root spherical simplex
    • Mat. Appl. With an appendix by J. Stembridge
    • De Concini, C., Procesi, C.: A Curios Identity and the Volume of the Root spherical simplex. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. With an appendix by J. Stembridge. (17) (2006).
    • (2006) Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei , vol.9 , Issue.17
    • De Concini, C.1    Procesi, C.2
  • 4
    • 77952082570 scopus 로고    scopus 로고
    • A geometric interpretation of the characteristic polynomial of reflection arrangements
    • Drton, M., Klivans, C.: A geometric interpretation of the characteristic polynomial of reflection arrangements. Proc. Am. Math. Soc. 138(8) (2010).
    • (2010) Proc. Am. Math. Soc , vol.138 , Issue.8
    • Drton, M.1    Klivans, C.2
  • 6
    • 84968483638 scopus 로고
    • On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-radon partitions and orientations of graphs
    • Greene, C., Zaslavsky, T.: On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-radon partitions and orientations of graphs. Trans. Am. Math. Soc. 280 (1983).
    • (1983) Trans. Am. Math. Soc , vol.280
    • Greene, C.1    Zaslavsky, T.2
  • 7
    • 80051819441 scopus 로고
    • Las: Convexity in oriented matroids
    • Vergnas, M. Las: Convexity in oriented matroids. J. Combin. Theory, Ser. B 29 (1980).
    • (1980) J. Combin. Theory, Ser , Issue.B , pp. 29
    • Vergnas, M.1
  • 9
    • 34347166234 scopus 로고
    • On the foundations of combinatorial theory I. Theory of Möbius functions Z
    • Rota, G.-C.: On the foundations of combinatorial theory I. Theory of Möbius functions. Z. Wahrscheinlichkeitstheor. Verw. 2 (1964).
    • (1964) Wahrscheinlichkeitstheor. Verw , vol.2
    • Rota, G.-C.1
  • 10
    • 0041303008 scopus 로고
    • Polytopes with centrally symmetric faces
    • Shephard, G. C.: Polytopes with centrally symmetric faces. Canad. J. Math. 19 (1967).
    • (1967) Canad. J. Math , vol.19
    • Shephard, G.C.1
  • 11
    • 54449089109 scopus 로고    scopus 로고
    • An introduction to hyperplane arrangements
    • IAS/Park City Math, Providence: Amer. Math. Soc
    • Stanley, R.: An introduction to hyperplane arrangements. In: Geometric Combinatorics. IAS/Park City Math., vol. 13. Amer. Math. Soc., Providence (2007).
    • (2007) Geometric Combinatorics , vol.13
    • Stanley, R.1
  • 12
    • 0001575794 scopus 로고
    • Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
    • Zaslavsky, T.: Facing up to arrangements: face-count formulas for partitions of space by hyperplanes. Mem. Amer. Math. Soc. 1(1), 154 (1975).
    • (1975) Mem. Amer. Math. Soc. , vol.1 , Issue.1 , pp. 154
    • Zaslavsky, T.1
  • 13
    • 0004159676 scopus 로고
    • Graduate Texts in Mathematics, New York: Springer
    • Ziegler, G.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, New York (1995).
    • (1995) Lectures on Polytopes , vol.152
    • Ziegler, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.