The Arithmetic Genus

  • Mario Baldassarri
Conference paper
Part of the Ergebnisse der Mathematik und Ihrer Grenzgebiete book series (MATHE2, volume 12)


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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Copyright information

© Springer-Verlag OHG. Berlin · Göttingen · Heidelberg 1956

Authors and Affiliations

  • Mario Baldassarri
    • 1
  1. 1.PadovaItaly

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