Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan On degree bounds for the sparse Nullstellensatz. (English) Zbl 1430.14111 J. Algebra 534, 531-544 (2019). Reviewer: Markus Schweighofer (Konstanz) MSC: 14Q20 13P99 PDF BibTeX XML Cite \textit{M. I. Herrero} et al., J. Algebra 534, 531--544 (2019; Zbl 1430.14111) Full Text: DOI arXiv OpenURL
Andersson, Mats; Wulcan, Elizabeth Global effective versions of the Briançon-Skoda-Huneke theorem. (English) Zbl 1333.32006 Invent. Math. 200, No. 2, 607-651 (2015). Reviewer: Jean Ruppenthal (Wuppertal) MSC: 32A27 14Q20 11C08 14F17 32B10 13P10 32C30 PDF BibTeX XML Cite \textit{M. Andersson} and \textit{E. Wulcan}, Invent. Math. 200, No. 2, 607--651 (2015; Zbl 1333.32006) Full Text: DOI arXiv OpenURL
Wulcan, Elizabeth Sparse effective membership problems via residue currents. (English) Zbl 1234.32001 Math. Ann. 350, No. 3, 661-682 (2011). Reviewer: Jean Ruppenthal (Wuppertal) MSC: 32A27 32C30 14M25 13P10 52B20 PDF BibTeX XML Cite \textit{E. Wulcan}, Math. Ann. 350, No. 3, 661--682 (2011; Zbl 1234.32001) Full Text: DOI arXiv OpenURL
Jelonek, Zbigniew On the effective Nullstellensatz. (English) Zbl 1087.14003 Invent. Math. 162, No. 1, 1-17 (2005). Reviewer: Martin Kreuzer (Dortmund) MSC: 14A10 14Q20 13F20 PDF BibTeX XML Cite \textit{Z. Jelonek}, Invent. Math. 162, No. 1, 1--17 (2005; Zbl 1087.14003) Full Text: DOI OpenURL
Cygan, Ewa; Krasiński, Tadeusz; Tworzewski, Piotr Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings. (English) Zbl 0942.32003 Invent. Math. 136, No. 1, 75-87 (1999). Reviewer: N.Mihalache (Bucuresti) MSC: 32B20 14P15 PDF BibTeX XML Cite \textit{E. Cygan} et al., Invent. Math. 136, No. 1, 75--87 (1999; Zbl 0942.32003) Full Text: DOI OpenURL
Brownawell, W. Dale A pure power product version of the Hilbert Nullstellensatz. (English) Zbl 0964.14002 Mich. Math. J. 45, No. 3, 581-597 (1998). Reviewer: Philippe Elbaz-Vincent (Montpellier) MSC: 14A05 13F20 13D45 11C08 PDF BibTeX XML Cite \textit{W. D. Brownawell}, Mich. Math. J. 45, No. 3, 581--597 (1998; Zbl 0964.14002) Full Text: DOI OpenURL
Gwoździewicz, Janusz Growth at infinity of a polynomial with a compact zero set. (English) Zbl 1050.32008 Jakubczyk, Bronisław (ed.) et al., Singularities symposium – Łojasiewicz 70. Papers presented at the symposium on singularities on the occasion of the 70th birthday of Stanisław Łojasiewicz, Cracow, Poland, September 25–29, 1996 and the seminar on singularities and geometry, Warsaw, Poland, September 30–October 4, 1996. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 44, 123-128 (1998). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 32C05 PDF BibTeX XML Cite \textit{J. Gwoździewicz}, Banach Cent. Publ. 44, 123--128 (1998; Zbl 1050.32008) Full Text: EuDML OpenURL
Winiarski, Tadeusz Estimation of growth of dominating mappings via Gröbner bases. (English) Zbl 0890.13005 Bull. Pol. Acad. Sci., Math. 44, No. 2, 237-244 (1996). MSC: 13P10 14E99 32B99 PDF BibTeX XML Cite \textit{T. Winiarski}, Bull. Pol. Acad. Sci., Math. 44, No. 2, 237--244 (1996; Zbl 0890.13005) OpenURL
Fabiano, A.; Pucci, G.; Yger, A. Effective Nullstellensatz and geometric degree for zero-dimensional ideals. (English) Zbl 0892.14002 Acta Arith. 78, No. 2, 165-187 (1996). Reviewer: Christodor Ionescu (Bucureşti) MSC: 14A05 13F20 13A15 PDF BibTeX XML Cite \textit{A. Fabiano} et al., Acta Arith. 78, No. 2, 165--187 (1996; Zbl 0892.14002) Full Text: DOI EuDML OpenURL
Ji, Shanyu; Kollár, János; Shiffman, Bernard A global Łojasiewicz inequality for algebraic varieties. (English) Zbl 0762.14001 Trans. Am. Math. Soc. 329, No. 2, 813-818 (1992). Reviewer: Peter Schenzel (Halle) MSC: 14A05 13F20 14Q20 PDF BibTeX XML Cite \textit{S. Ji} et al., Trans. Am. Math. Soc. 329, No. 2, 813--818 (1992; Zbl 0762.14001) Full Text: DOI OpenURL
Lombardi, Henri A bound on the degrees for the effective real Nullstellensatz. (Une borne sur les degrés pour le théorème des zeros reel effectif.) (French) Zbl 0782.14001 Real algebraic geometry, Proc. Conf., Rennes/Fr. 1991, Lect. Notes Math. 1524, 323-345 (1992). Reviewer: J.M.Gamboa (Madrid) MSC: 14A05 14P10 PDF BibTeX XML Cite \textit{H. Lombardi}, Lect. Notes Math. 1524, 323--345 (1992; Zbl 0782.14001) OpenURL
Laurent, Michel Sur quelques résultats récents de transcendance. (On some recent transcendence results). (French) Zbl 0762.11027 Journées arithmétiques, Exp. Congr., Luminy/Fr. 1989, Astérisque 198-200, 209-230 (1991). Reviewer: A.Faosant (Saint-Etienne) MSC: 11J81 11J86 11R27 11J89 11E99 PDF BibTeX XML Cite \textit{M. Laurent}, Astérisque 198--200, 209--230 (1991; Zbl 0762.11027) OpenURL
Gallo, G.; Mishra, B. Wu-Ritt characteristic sets and their complexity. (English) Zbl 0733.68048 Discrete and computational geometry, Proc. DIMACS Spec. Year Workshops 1989-90, DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 6, 111-136 (1991). MSC: 68W30 12Y05 68Q25 13P10 14A10 13A15 PDF BibTeX XML OpenURL
Amoroso, Francesco Tests d’appartenance d’après un théorème de Kollár. (Membership tests after Kollár’s theorem). (French) Zbl 0703.13003 C. R. Acad. Sci., Paris, Sér. I 309, No. 10, 691-694 (1989). Reviewer: H.Matsumura MSC: 13A15 13F20 14A05 PDF BibTeX XML Cite \textit{F. Amoroso}, C. R. Acad. Sci., Paris, Sér. I 309, No. 10, 691--694 (1989; Zbl 0703.13003) OpenURL
Caniglia, Léandro; Galligo, André; Heintz, Joos Exponential simple bound for the degrees in the Nullstellensatz over a field of arbitrary characteristic. (Borne simple exponentielle pour les degrés dans le théorème des zéros sur un corps de caractéristique quelconque.) (French) Zbl 0686.14001 C. R. Acad. Sci., Paris, Sér. I 307, No. 6, 255-258 (1988). Reviewer: N.Mohan Kumar MSC: 14A05 13F20 PDF BibTeX XML Cite \textit{L. Caniglia} et al., C. R. Acad. Sci., Paris, Sér. I 307, No. 6, 255--258 (1988; Zbl 0686.14001) OpenURL