Spectral data for a~pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$
Izvestiya. Mathematics , Tome 75 (2011) no. 5, pp. 959-969
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We consider the 10-dimensional complex space whose points are cubic curves
on the projective complex plane with three marked points. The triples of marked
points on the curve are defined up to equivalence of divisors. We construct
a natural action of the group $\mathrm{GL}(2,\mathbb Z)$ on this space.
Keywords:
elliptic curve, spectral curve, free group.
@article{IM2_2011_75_5_a4,
author = {Yu. A. Neretin},
title = {Spectral data for a~pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$},
journal = {Izvestiya. Mathematics },
pages = {959--969},
publisher = {mathdoc},
volume = {75},
number = {5},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2011_75_5_a4/}
}
TY - JOUR
AU - Yu. A. Neretin
TI - Spectral data for a~pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$
JO - Izvestiya. Mathematics
PY - 2011
SP - 959
EP - 969
VL - 75
IS - 5
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/IM2_2011_75_5_a4/
LA - en
ID - IM2_2011_75_5_a4
ER -
Yu. A. Neretin. Spectral data for a~pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$. Izvestiya. Mathematics , Tome 75 (2011) no. 5, pp. 959-969. http://geodesic.mathdoc.fr/item/IM2_2011_75_5_a4/