Symmetries of holomorphic geometric structures on tori

Sorin Dumitrescu, and Benjamin McKay. "Symmetries of holomorphic geometric structures on tori." Complex Manifolds 3.1 (2016): 1-15. <http://eudml.org/doc/276415>.

@article{SorinDumitrescu2016,
abstract = {We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures.},
author = {Sorin Dumitrescu, Benjamin McKay},
journal = {Complex Manifolds},
keywords = {locally homogeneous structures; complex tori; complex homogeneous spaces},
language = {eng},
number = {1},
pages = {1-15},
title = {Symmetries of holomorphic geometric structures on tori},
url = {http://eudml.org/doc/276415},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Sorin Dumitrescu
AU - Benjamin McKay
TI - Symmetries of holomorphic geometric structures on tori
JO - Complex Manifolds
PY - 2016
VL - 3
IS - 1
SP - 1
EP - 15
AB - We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures.
LA - eng
KW - locally homogeneous structures; complex tori; complex homogeneous spaces
UR - http://eudml.org/doc/276415
ER -