Document Zbl 0399.14032

Note on set-theoretic intersections of subvarieties of projective space. (English) Zbl 0399.14032

Math. Ann. 245, 247-253 (1979).

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MSC:

14N10	Enumerative problems (combinatorial problems) in algebraic geometry
14M10	Complete intersections

Keywords:

Set-Theoretic Intersections; Subvarieties of Projective Space; Algorithms

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Full Text: DOI EuDML

References:

[1]	Cowsik, R.C., Nori, M.V.: On the fibres of blowing up. J. Indian Math. Soc. (U.S.)40, 217–222 (1976) · Zbl 0437.14028
[2]	Hartshorne, R.: Complete intersections and connectedness. Am. J. Math.84, 497–508 (1962) · Zbl 0108.16602 · doi:10.2307/2372986
[3]	Hartshorne, R.: Cohomological dimension of algebraic varieties. Ann. of Math.88, 403–450 (1968) · Zbl 0169.23302 · doi:10.2307/1970720
[4]	Hartshorne, R.: Ample subvarieties of algebraic varieties. Lecture Notes in Mathematics156. Berlin, Heidelberg, New York: Springer 1970 · Zbl 0208.48901
[5]	Kunz, E.: Über die Anzahl der Gleichungen, die zur Beschreibung einer algebraischen Varietät nötig sind. Preprint, Universität Regensburg 1978 · Zbl 0414.14001
[6]	Lüddecke, R. (married Kummer): Potenzproduktideale. Diplomarbeit, Universität Halle 1962
[7]	Perron, O.: Beweis und Verschärfung eines Satzes von Kronecker. Math. Ann.118, 441–448 (1941) · Zbl 0027.19801 · doi:10.1007/BF01487380
[8]	Perron, O.: Über die Abhängigkeit von Polynomen. Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber.10, 117–130 (1950) · Zbl 0044.01001
[9]	Reisner, G.A.: Cohen-Macaulay quotients of polynomial rings. Adv. in Math.21, 30–49 (1976) · Zbl 0345.13017 · doi:10.1016/0001-8708(76)90114-6
[10]	Renschuch, B.: Der Satz von Kronecker und Perron für Veronesesche Ideale. In: Beiträge zur Algebra und Geometrie, Bd. 2, S. 19–25. Martin-Luther-Universität, Halle 1974 · Zbl 0278.14001
[11]	Rung, J.: Mengentheoretische Durchschnitte und Zusammenhang. Regensburger Mathematische Schriften, Bd. 3. Regensburg: Fachbereich Mathematik 1978 · Zbl 0512.14030
[12]	Schenzel, P., Vogel, W.: On set-theoretic intersections. J. Algebra48, 401–408 (1977) · Zbl 0411.14014 · doi:10.1016/0021-8693(77)90317-9
[13]	Vogel, W.: Eine Bemerkung über die Anzahl von Hyperflächen zur Darstellung algebraischer Varietäten. Monatsber. Dtsch. Akad. Wiss. Berlin13, 629–633 (1971) · Zbl 0241.14026
[14]	Vogel, W.: On the classical problem of space curves (in slovak). Pokroky Mat. Fyz. Astronom.15, 77–83 (1974)

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