Independent integral bases and a characterization of regular surfaces
HTML articles powered by AMS MathViewer
- by H. T. Muhly PDF
- Trans. Amer. Math. Soc. 54 (1943), 340-360 Request permission
References
-
G. Castelnuovo, Alcune proprieta fondamentali dei sistemi lineari di curve tracciate sopra una superficie algebraica, Memorie di matematica e di fisica della Società Italiana delle Scienze (3) vol. 10 (1896).
R. Dedekind and H. Weber, Theorie der algebraischen Funktionen einer Veränderlichen, J. Reine Angew. Math. vol. 92 (1882).
W. Krull, Allgemeine Bewertungstheorie, J. Reine Angew. Math. vol. 167 (1932).
- H. T. Muhly, A remark on normal varieties, Ann. of Math. (2) 42 (1941), 921–925. MR 4494, DOI 10.2307/1968773 W. Schmeidler, Grundlagen einer Theorie der algebraischen Funktionen mehrerer Veränderlichen, Math. Zeit. vol. 28 (1928). F. Severi, Sulla deficienza della serie caratteristica di un sistema lineare di curve appartenenti ad una superficie algebrica, Atti della Reale Accademia dei Lincei, Rendiconti (5) vol. 12 (1903). B. L. van der Waerden, On Hilbert’s function, series of composition of ideals, and a generalization of a theorem of Bezout, Proceedings of the Koninklijke Akademie van wetenschappen, Amsterdam vol. 31 (1928). O. Zariski, Algebraic surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete vol. 3 (1935). —, Some results in the arithmetic theory of algebraic varieties, Amer. J. Math. vol. 61 (1939).
- Oscar Zariski, Algebraic varieties over ground fields of characteristic zero, Amer. J. Math. 62 (1940), 187–221. MR 611, DOI 10.2307/2371447
- Oscar Zariski, Pencils on an algebraic variety and a new proof of a theorem of Bertini, Trans. Amer. Math. Soc. 50 (1941), 48–70. MR 4241, DOI 10.1090/S0002-9947-1941-0004241-4
- Oscar Zariski, Normal varieties and birational correspondences, Bull. Amer. Math. Soc. 48 (1942), 402–413. MR 6451, DOI 10.1090/S0002-9904-1942-07685-3
Additional Information
- © Copyright 1943 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 54 (1943), 340-360
- MSC: Primary 14.0X
- DOI: https://doi.org/10.1090/S0002-9947-1943-0008914-0
- MathSciNet review: 0008914