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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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On the existence of plane curves with prescribed singularities
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by Gerald B. Huff PDF
Bull. Amer. Math. Soc. 57 (1951), 411-419
References
  • Arthur B. Coble, Algebraic geometry and theta functions, American Mathematical Society Colloquium Publications, Vol. X, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123958
  • 2. A. B. Coble, Cremona transformations..., Bull. Amer. Math. Soc. vol. 28 (1922) p. 335. 3. A. B. Coble, Cremona’s diophantine equations, Amer. J. Math. vol. 56 (1934) p. 487. 4. J. L. Coolidge, Algebraic plane curves, Oxford, 1931, p. 487. 5. L. Cremona, Sulle transformazioni geometriche delle figure piane, Giornale di Matematiche vol. 1 (1863) p. 306. 6. P. Du Val, On the Kantor group of a set of points in the plane, Proc. London Math. Soc. (2) vol. 42 (1936) pp. 18-51. 7. G. B. Huff, A note on Cremona transformations, Proc. Nat. Acad. Sci. U.S.A. vol. 20 (1934) p. 429.
  • G. B. Huff, Inequalities connecting solutions of Cremona’s equations, Bull. Amer. Math. Soc. 52 (1946), 287–291. MR 15859, DOI 10.1090/S0002-9904-1946-08559-6
  • G. B. Huff, An arithmetic characterization of proper characteristics of linear systems, Amer. J. Math. 68 (1946), 681–688. MR 18880, DOI 10.2307/2371792
  • Gerald B. Huff, Cremona’s equations and the properness inequalities, Duke Math. J. 17 (1950), 385–389. MR 41472
  • Gerald B. Huff, The completion of a theorem of Kantor, Bull. Amer. Math. Soc. 50 (1944), 692–696. MR 12818, DOI 10.1090/S0002-9904-1944-08208-6
  • 12. E. de Jonquieres, Solution d’une question d’analyse indéterminée, C. R. Acad. Sci. Paris vol. 101 (1885) p. 857. 13. S. Kantor, Premier fondements pour une théorie des transformations univoques..., Naples, 1891, p. 297. 14. I. Larice, Due nuove soluzioni generali... delle equazioni di condizione della trasformazioni Cremoniani, Periodico di Matematica per l’Insegnamento Secondario (3) vol. 6, p. 234.
  • Solomon Lefschetz, On the existence of loci with given singularities, Trans. Amer. Math. Soc. 14 (1913), no. 1, 23–41. MR 1500934, DOI 10.1090/S0002-9947-1913-1500934-0
  • 16. M. Noether, Ueber Flächen, welche Schaaren rationaler Kurven besitzen, Math. Ann. vol. 3 (1871) p. 166. 17. F. P. Ruffini, Risoluzione di 2 equazione... di trasformazione Cremoniana, Memorie della R. Accademia delle scienze dell’Istituto di Bologna vol. 8 (1877) p. 483. 18. G. Salmon and O. W. Fiedler, Analytische Geometrie der höheren ebenen Kurven, Leipzig, 1882, p. 83.
  • Mildred E. Taylor, A Determination of the Types of Planar Cremona Transformations with not More than 9 $F$-Points, Amer. J. Math. 54 (1932), no. 1, 123–128. MR 1506879, DOI 10.2307/2371083
  • 20. G. Veronese, ...das Princip des Projicirens und Schneidens..., Math. Ann. vol. 19 (1882) p. 211.
  • Oscar Zariski, On the irregularity of cyclic multiple planes, Ann. of Math. (2) 32 (1931), no. 3, 485–511. MR 1503012, DOI 10.2307/1968247
  • Oscar Zariski, Algebraic surfaces, Classics in Mathematics, Springer-Verlag, Berlin, 1995. With appendices by S. S. Abhyankar, J. Lipman and D. Mumford; Preface to the appendices by Mumford; Reprint of the second (1971) edition. MR 1336146, DOI 10.1007/978-3-642-61991-5
Additional Information
  • Journal: Bull. Amer. Math. Soc. 57 (1951), 411-419
  • DOI: https://doi.org/10.1090/S0002-9904-1951-09542-7
  • MathSciNet review: 0044147