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Volumn 253, Issue 2, 2006, Pages 361-385

Polynomial systems with few real zeroes

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EID: 33645518644     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-005-0912-8     Document Type: Article
Times cited : (13)

References (11)
  • 2
    • 0037055873 scopus 로고    scopus 로고
    • Viro method for the construction of real complete intersections
    • Bihan, F.: Viro method for the construction of real complete intersections. Advances in Mathematics 169(2), 177-186 (2002)
    • (2002) Advances in Mathematics , vol.169 , Issue.2 , pp. 177-186
    • Bihan, F.1
  • 3
    • 0040907168 scopus 로고
    • Géométrie. (1636)
    • Massachussetts, Harvard University Press
    • Descartes, R.: Géométrie. (1636) In: A source book in Mathematics. Massachussetts, Harvard University Press 1969, pp 90-93
    • (1969) A Source Book in Mathematics , pp. 90-93
    • Descartes, R.1
  • 4
    • 0003322387 scopus 로고
    • Algebraic geometry
    • Springer-Verlag, New York
    • Hartshorne, R.: Algebraic geometry. Springer-Verlag, New York, Graduate Texts in Mathematics, No. 52, 1977
    • (1977) Graduate Texts in Mathematics , Issue.52
    • Hartshorne, R.1
  • 6
    • 0001101237 scopus 로고
    • A Newton polyhedron and the number of solutions of a system of k equations in k unknowns
    • . Kouchnirenko, A.G.: A Newton polyhedron and the number of solutions of a system of k equations in k unknowns. Usp. Math. Nauk. 30, 266-267 (1975)
    • (1975) Usp. Math. Nauk. , vol.30 , pp. 266-267
    • Kouchnirenko, A.G.1
  • 7
    • 0142054849 scopus 로고    scopus 로고
    • Counting real connected components of trinomial curve intersections and m-nomial hypersurfaces
    • Li, T.-Y., Maurice Rojas, J., Wang, X.: Counting real connected components of trinomial curve intersections and m-nomial hypersurfaces. Discrete Comput. Geom. 30(3), 379-414 (2003)
    • (2003) Discrete Comput. Geom. , vol.30 , Issue.3 , pp. 379-414
    • Li, T.-Y.1    Maurice Rojas, J.2    Wang, X.3
  • 8
    • 0008599709 scopus 로고
    • On the number of real roots of a sparse polynomial system. Hamiltonian and gradient flows, algorithms and control
    • American Mathematical Society, Providence
    • Sturmfels, B.: On the number of real roots of a sparse polynomial system. Hamiltonian and gradient flows, algorithms and control, Fields Inst. Commun., vol. 3, American Mathematical Society, Providence, 1994, pp 137-143
    • (1994) Fields Inst. Commun. , vol.3 , pp. 137-143
    • Sturmfels, B.1
  • 10
    • 0002942199 scopus 로고
    • Gluing of algebraic hypersurfaces, smoothing of singularities and construction of curves.(in russian)
    • Leningrad, 1982, Nauka, Leningrad
    • Viro, O.: Gluing of algebraic hypersurfaces, smoothing of singularities and construction of curves.(in russian). Proc. Leningrad Int. Topological Conf., Leningrad, 1982, Nauka, Leningrad, 1983, pp 149-197
    • (1983) Proc. Leningrad Int. Topological Conf. , pp. 149-197
    • Viro, O.1
  • 11
    • 0000403820 scopus 로고
    • Gluing of plane algebraic curves and construction of curves of degree 6 and 7
    • Viro, O.: Gluing of plane algebraic curves and construction of curves of degree 6 and 7. Lecture Notes in Mathematics 1060, 1984, pp 187-200
    • (1984) Lecture Notes in Mathematics , vol.1060 , pp. 187-200
    • Viro, O.1


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