Geodesic
Hirzebruch Functional Equations and Krichever Complex Genera
Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 236-247

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $n$.
Mots-clés : Hirzebruch genus
Keywords: elliptic function, functional equation. 
@article{MZM_2018_103_2_a6,
     author = {I. V. Netay},
     title = {Hirzebruch {Functional} {Equations} and {Krichever} {Complex} {Genera}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {236--247},
     publisher = {mathdoc},
     volume = {103},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a6/}
}
TY  - JOUR
AU  - I. V. Netay
TI  - Hirzebruch Functional Equations and Krichever Complex Genera
JO  - Matematičeskie zametki
PY  - 2018
SP  - 236
EP  - 247
VL  - 103
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a6/
LA  - ru
ID  - MZM_2018_103_2_a6
ER  - 
%0 Journal Article
%A I. V. Netay
%T Hirzebruch Functional Equations and Krichever Complex Genera
%J Matematičeskie zametki
%D 2018
%P 236-247
%V 103
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a6/
%G ru
%F MZM_2018_103_2_a6
I. V. Netay. Hirzebruch Functional Equations and Krichever Complex Genera. Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 236-247. http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a6/