Abstract
This chapter is devoted to the algebro-geometric theory of the arithmetic genus of a variety, which has been recently reviewed by Severi {see Severi [35], pp. 42–81} and Zariski {see Zariski [21], Ch. III}, with a complement due to Muhly-Zariski {see Muhly-Zariski [1]}: the following exposition is chiefly modelled on Zariski’s which is the most comprehensive, being applicable to a normal variety over any field k; nevertheless different and sometimes more far-reaching viewpoints of Severi are also referred to in the case where V is defined over the complex field.
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© 1956 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg
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Baldassarri, M. (1956). The Arithmetic Genus. In: Algebraic Varieties. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52761-6_5
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DOI: https://doi.org/10.1007/978-3-642-52761-6_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-52763-0
Online ISBN: 978-3-642-52761-6
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