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1
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67349206642
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Bounds on the number of real solutions to polynomial equations
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Art. ID rnm114
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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.
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(2007)
Int. Math. Res. Not. IMRN
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, pp. 7
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BATES, D.J.1
BIHAN, F.2
SOTTILE, F.3
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2
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77955585065
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Khovanskii-Rolle continuation for real solutions
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in preparation
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D. BATES & F. SOTTILE, "Khovanskii-Rolle continuation for real solutions", 2008, in preparation.
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(2008)
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BATES, D.1
SOTTILE, F.2
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3
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0001255972
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Newton Polytopes
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in Russian
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D. BERNSTEIN, A. KOUCHNIRENKO & A. KHOVANSKII, "Newton Polytopes", Usp. Math. Nauk. 1 (1976), no. 3, p. 201-202 (in Russian).
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(1976)
Usp. Math. Nauk
, vol.1
, Issue.3
, pp. 201-202
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BERNSTEIN, D.1
KOUCHNIRENKO, A.2
KHOVANSKII, A.3
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4
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33645518644
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Polynomial systems with few real zeroes
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B. BERTRAND, F. BIHAN & F. SOTTILE, "Polynomial systems with few real zeroes", Math. Z. 253 (2006), no. 2, p. 361-385.
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(2006)
Math. Z
, vol.253
, Issue.2
, pp. 361-385
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BERTRAND, B.1
BIHAN, F.2
SOTTILE, F.3
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5
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34548540316
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Polynomial systems supported on circuits and dessins d'enfants
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F. BIHAN, "Polynomial systems supported on circuits and dessins d'enfants", Journal of the London Mathematical Society 75 (2007), no. 1, p. 116-132.
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(2007)
Journal of the London Mathematical Society
, vol.75
, Issue.1
, pp. 116-132
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BIHAN, F.1
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6
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85036930453
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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.
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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.
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7
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47649108476
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New fewnomial upper bounds from Gale dual polynomial systems
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F. BIHAN & F. SOTTILE, "New fewnomial upper bounds from Gale dual polynomial systems", Moscow Mathematical Journal 7 (2007), no. 3, p. 387-407.
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(2007)
Moscow Mathematical Journal
, vol.7
, Issue.3
, pp. 387-407
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BIHAN, F.1
SOTTILE, F.2
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8
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85036948693
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New Betti number bounds for fewnomial hypersurfaces via stratified Morse Theory
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arXiv:0801.2554
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_, "New Betti number bounds for fewnomial hypersurfaces via stratified Morse Theory", 2008, arXiv:0801.2554.
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(2008)
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BIHAN, F.1
SOTTILE, F.2
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9
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0031097797
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Intersection theory on toric varieties
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W. FULTON & B. STURMFELS, "Intersection theory on toric varieties", Topology 36 (1997), p. 335-353.
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(1997)
Topology
, vol.36
, pp. 335-353
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FULTON, W.1
STURMFELS, B.2
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10
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0002615049
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Newton polyhedra, and the genus of complete intersections
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A. G. HOVANSKIǏ, "Newton polyhedra, and the genus of complete intersections", Funktsional. Anal. i Prilozhen. 12 (1978), no. 1, p. 51-61.
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(1978)
Funktsional. Anal. i Prilozhen
, vol.12
, Issue.1
, pp. 51-61
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HOVANSKIǏ, A.G.1
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11
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28444485847
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First steps in tropical geometry
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Contemp. Math, Amer. Math. Soc, Providence, RI
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J. RICHTER-GEBERT, B. STURMFELS & T. THEOBALD, "First steps in tropical geometry", in Idempotent mathematics and mathematical physics, Contemp. Math., vol. 377, Amer. Math. Soc., Providence, RI, 2005, p. 289-317.
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(2005)
Idempotent mathematics and mathematical physics
, vol.377
, pp. 289-317
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RICHTER-GEBERT, J.1
STURMFELS, B.2
THEOBALD, T.3
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12
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84967683829
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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.
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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.
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