Mathematical Notes

, Volume 103, Issue 1–2, pp 232–242 | Cite as

Hirzebruch Functional Equations and Krichever Complex Genera

  • I. V. Netai


As is well known, the two-parameter Todd genus and the elliptic functions of level d define n-multiplicative Hirzebruch genera if d divides n + 1. Both cases are special cases of the Krichever genera defined by the Baker–Akhiezer function. In the present paper, the inverse problem is solved. Namely, it is proved that only these properties define n-multiplicative Hirzebruch genera among all Krichever genera for all n.


Hirzebruch genus elliptic function functional equation 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Institute of Information Transmission ProblemsRussian Academy of Sciences (Kharkevich Institute)MoscowRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia

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