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On the sectional geometric genus of quasi-polarized varieties, II

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Abstract

Let (X,L) be a quasi-polarized variety of dim X=n. In the previous paper we gave a new invariant (the i-th sectional geometric genus) of (X,L), which is a generalization of the degree and the sectional genus of (X,L). In this paper we study some properties of the sectional geometric genus, and we consider the i-th sectional geometric genus of some special varieties.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kochi University, Akebono-cho, Kochi, 780-8520, Japan

    Yoshiaki Fukuma

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  1. Yoshiaki Fukuma
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Correspondence to Yoshiaki Fukuma.

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This research was partially supported by Grant-in-Aid for Scientific Research (No.14740018) from the Ministry of Education, Culture, Sports, Science and Technology.

Mathematics Subject Classification (2000): Primary 14C20; Secondary 14J30, 14J32, 14J35, 14J40, 14J45, 14N99

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Fukuma, Y. On the sectional geometric genus of quasi-polarized varieties, II. manuscripta math. 113, 211–237 (2004). https://doi.org/10.1007/s00229-003-0434-9

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  • DOI: https://doi.org/10.1007/s00229-003-0434-9

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