메뉴 건너뛰기




Volumn 38, Issue 3, 1999, Pages 213-221

An effective lojasiewicz inequality for real

Author keywords

Lojasiewicz inequality; Real polynomials

Indexed keywords


EID: 34748888174     PISSN: 00315303     EISSN: 15882829     Source Type: Journal    
DOI: 10.1023/A:1004806609074     Document Type: Article
Times cited : (38)

References (21)
  • 1
    • 0040277331 scopus 로고    scopus 로고
    • Springer 1987, enlargeed English edition: Real algebraic geometry, Springer-Verlag
    • J. BOCHNAK, M. COSTE and M-F. ROY, Géométrie algébrique réelle, Springer 1987, enlargeed English edition: Real algebraic geometry, Springer-Verlag, 1998.
    • (1998) Géométrie Algébrique Réelle
    • Bochnak, J.1    Coste, M.2    Roy, M.-F.3
  • 3
    • 84968481874 scopus 로고
    • Local diophantine Nullstellen inequalities
    • W. D. BROWNAWELL, Local diophantine Nullstellen inequalities, Journal AMS 1 (1988), 311-322.
    • (1988) Journal AMS , vol.1 , pp. 311-322
    • Brownawell, W.D.1
  • 4
    • 0039021703 scopus 로고    scopus 로고
    • Separation at infinity and the Lojasiewicz exponent of polynomial mappings
    • E. CYGAN, T. KRASIŃSKI and P. TWORZEWSKI, Separation at infinity and the Lojasiewicz exponent of polynomial mappings, Invent Math. 136 (1999), 75-88.
    • (1999) Invent Math. , vol.136 , pp. 75-88
    • Cygan, E.1    Krasiński, T.2    Tworzewski, P.3
  • 8
    • 84866816890 scopus 로고    scopus 로고
    • The Lojasiewicz exponent of an analytic function at an isolated zero
    • (to appear)
    • J. GWOŹDZIEWICZ, The Lojasiewicz exponent of an analytic function at an isolated zero, Comment. Math. Helv. (to appear)
    • Comment. Math. Helv.
    • Gwoździewicz, J.1
  • 9
    • 34748867628 scopus 로고    scopus 로고
    • Growth at infinity of a polynomial with a compact zero set
    • Banach Cent. Publ. Warszawa
    • J. GWOŹDZIEWICZ, Growth at infinity of a polynomial with a compact zero set, Singularities symposium - Lojasiewicz 70, Banach Cent. Publ. Warszawa, 1998
    • (1998) Singularities Symposium - Lojasiewicz , vol.70
    • Gwoździewicz, J.1
  • 13
    • 0000589830 scopus 로고
    • A Global Lojasicwicz Inequality for Algebraic Varieties
    • S. JI, J. KOLLÁR and B. SHIFFMAN, A Global Lojasicwicz Inequality for Algebraic Varieties, Trans. AMS 329 (1992), 813-818.
    • (1992) Trans. AMS , vol.329 , pp. 813-818
    • Kollár, S.J.I.J.1    Shiffman, B.2
  • 14
    • 84968474102 scopus 로고
    • Sharp effective Nullstellensatz
    • J. KOLLÁR, Sharp effective Nullstellensatz, Jour. AMS 1 (1988), 963-975.
    • (1988) Jour. AMS , vol.1 , pp. 963-975
    • Kollár, J.1
  • 15
    • 0001897153 scopus 로고
    • Sur le problème de la division
    • S. ŁOJASIEWICZ, Sur le problème de la division, Studio, Math. 18 (1959), 87-136.
    • (1959) Studio, Math. , vol.18 , pp. 87-136
    • ŁOjasiewicz, S.1
  • 17
    • 0012294544 scopus 로고    scopus 로고
    • Cohomology and intersection homology of algebraic varieties
    • IAS/Park City math, series AMS
    • E. LOOIJENGA, Cohomology and intersection homology of algebraic varieties, in: Complex algebraic geometry, IAS/Park City math, series vol. 3. AMS, 1997, 221-264.
    • (1997) Complex Algebraic Geometry , vol.3 , pp. 221-264
    • Looijenga, E.1
  • 18
    • 0001680567 scopus 로고
    • The maximal number of quotient singularities on surfaces with given numerical invariants
    • Y. MIYAOKA, The maximal number of quotient singularities on surfaces with given numerical invariants, Math. Ann. 268 (1984), 159-171.
    • (1984) Math. Ann. , vol.268 , pp. 159-171
    • Miyaoka, Y.1
  • 19
    • 0002508739 scopus 로고
    • Effective Lojasiewicz inequalities in semialgebraic geometry
    • P. SOLERNÓ, Effective Lojasiewicz inequalities in semialgebraic geometry, Appl. Algebra Engrg. Comm. Comput. 2 (1991), 2-14.
    • (1991) Appl. Algebra Engrg. Comm. Comput. , vol.2 , pp. 2-14
    • Solernó, P.1
  • 20
    • 0040652661 scopus 로고
    • Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface (Russian)
    • A. N. VARCHENKO, Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface (Russian), Dokl. Akad. Nauk SSSR 270 (1983), 1294-1297.
    • (1983) Dokl. Akad. Nauk SSSR , vol.270 , pp. 1294-1297
    • Varchenko, A.N.1
  • 21
    • 0000694323 scopus 로고
    • On Plane Rational Curves
    • H. YOSHIHARA, On Plane Rational Curves, Proc. Japan Acad. 55 (1979), 152-155.
    • (1979) Proc. Japan Acad. , vol.55 , pp. 152-155
    • Yoshihara, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.