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Volumn 58, Issue 3, 2008, Pages 877-891

Gale duality for complete intersections

Author keywords

Complete intersection; Fewnomial; Hyperplane arrangement; Master function; Sparse polynomial system

Indexed keywords


EID: 47649116237     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.2372     Document Type: Article
Times cited : (12)

References (12)
  • 1
    • 67349206642 scopus 로고    scopus 로고
    • Bounds on the number of real solutions to polynomial equations
    • Art. ID rnm114
    • D. J. BATES, F. BIHAN & F. SOTTILE, "Bounds on the number of real solutions to polynomial equations", Int. Math. Res. Not. IMRN (2007), no. 23, p. 7, Art. ID rnm114.
    • (2007) Int. Math. Res. Not. IMRN , Issue.23 , pp. 7
    • BATES, D.J.1    BIHAN, F.2    SOTTILE, F.3
  • 2
    • 77955585065 scopus 로고    scopus 로고
    • Khovanskii-Rolle continuation for real solutions
    • in preparation
    • D. BATES & F. SOTTILE, "Khovanskii-Rolle continuation for real solutions", 2008, in preparation.
    • (2008)
    • BATES, D.1    SOTTILE, F.2
  • 4
    • 33645518644 scopus 로고    scopus 로고
    • Polynomial systems with few real zeroes
    • B. BERTRAND, F. BIHAN & F. SOTTILE, "Polynomial systems with few real zeroes", Math. Z. 253 (2006), no. 2, p. 361-385.
    • (2006) Math. Z , vol.253 , Issue.2 , pp. 361-385
    • BERTRAND, B.1    BIHAN, F.2    SOTTILE, F.3
  • 5
    • 34548540316 scopus 로고    scopus 로고
    • Polynomial systems supported on circuits and dessins d'enfants
    • F. BIHAN, "Polynomial systems supported on circuits and dessins d'enfants", Journal of the London Mathematical Society 75 (2007), no. 1, p. 116-132.
    • (2007) Journal of the London Mathematical Society , vol.75 , Issue.1 , pp. 116-132
    • BIHAN, F.1
  • 6
    • 85036930453 scopus 로고    scopus 로고
    • F. BIHAN, J. ROJAS & F. SOTTILE, Sharpness of fewnomial bounds and the number of components of a fewnomial hypersurface, in Algorithms in Algebraic Geometry (A. Dickenstein, F.-O. Schreyer & A. Sommese, eds.), IMA, 146, Springer-Verlag, 2007, p. 15-20.
    • F. BIHAN, J. ROJAS & F. SOTTILE, "Sharpness of fewnomial bounds and the number of components of a fewnomial hypersurface", in Algorithms in Algebraic Geometry (A. Dickenstein, F.-O. Schreyer & A. Sommese, eds.), IMA, vol. 146, Springer-Verlag, 2007, p. 15-20.
  • 7
    • 47649108476 scopus 로고    scopus 로고
    • New fewnomial upper bounds from Gale dual polynomial systems
    • F. BIHAN & F. SOTTILE, "New fewnomial upper bounds from Gale dual polynomial systems", Moscow Mathematical Journal 7 (2007), no. 3, p. 387-407.
    • (2007) Moscow Mathematical Journal , vol.7 , Issue.3 , pp. 387-407
    • BIHAN, F.1    SOTTILE, F.2
  • 8
    • 85036948693 scopus 로고    scopus 로고
    • New Betti number bounds for fewnomial hypersurfaces via stratified Morse Theory
    • arXiv:0801.2554
    • _, "New Betti number bounds for fewnomial hypersurfaces via stratified Morse Theory", 2008, arXiv:0801.2554.
    • (2008)
    • BIHAN, F.1    SOTTILE, F.2
  • 9
    • 0031097797 scopus 로고    scopus 로고
    • Intersection theory on toric varieties
    • W. FULTON & B. STURMFELS, "Intersection theory on toric varieties", Topology 36 (1997), p. 335-353.
    • (1997) Topology , vol.36 , pp. 335-353
    • FULTON, W.1    STURMFELS, B.2
  • 10
    • 0002615049 scopus 로고
    • Newton polyhedra, and the genus of complete intersections
    • A. G. HOVANSKIǏ, "Newton polyhedra, and the genus of complete intersections", Funktsional. Anal. i Prilozhen. 12 (1978), no. 1, p. 51-61.
    • (1978) Funktsional. Anal. i Prilozhen , vol.12 , Issue.1 , pp. 51-61
    • HOVANSKIǏ, A.G.1
  • 12
    • 84967683829 scopus 로고    scopus 로고
    • A. J. SOMMESE & C. W. WAMPLER, II, The numerical solution of systems of polynomials, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005, xxii+401 pages.
    • A. J. SOMMESE & C. W. WAMPLER, II, The numerical solution of systems of polynomials, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005, xxii+401 pages.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.