Zusammenfassung
In 1932 the first paper of Severi on equivalence systems of groups of points on algebraic surfaces appeared [1]. Soon afterwards, Severi extended his theory to equivalence systems of virtual varieties Ck, i.e. k-dimensional cycles on a variety Vr without singularities.
Conferenza tenuta il 13 aprile 1970.
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References
F. Severi, La aerie canonica e la teoria delle aerie principali di gruppi di punti sopra una superficie algebrica, Commentarii Mathematici Helvetici, 4 (1932), 268.
F. Severi, Über die Grundlagen der algebraischen Geometrie, Abh. Math. Sem. Hamburg, 9 (1933), 335.
B. L. Van Der Waerden, Zur algebraischen Geometrie 14. Math. Annalen, 115 (1938), 635.
B. L. Van Der Waerden, On the definition of rational equivalence of cycles on a variety, Proceedings Internat. Congress of Mathematicians, 1954, Amsterdam, vol. III, p. 545.
B. L. Van Der Waerden, Einführung in die algebraische Geometrie, § 42, Satz 5.
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© 1983 Springer-Verlag Berlin Heidelberg
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van der Waerden, B.L. (1983). The Theory of Equivalence Systems of Cycles on a Variety. In: Zur algebraischen Geometrie. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61782-9_32
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DOI: https://doi.org/10.1007/978-3-642-61782-9_32
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