Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Twistor lines in the period domain of complex tori. / Buskin, Nikolay; Izadi, Elham.
в: Geometriae Dedicata, Том 213, № 1, 08.2021, стр. 21-47.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - Twistor lines in the period domain of complex tori
AU - Buskin, Nikolay
AU - Izadi, Elham
N1 - Publisher Copyright: © 2020, Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/8
Y1 - 2021/8
N2 - As in the case of irreducible holomorphic symplectic manifolds, the period domain Compl of compact complex tori of even dimension 2n contains twistor lines. These are special 2-spheres parametrizing complex tori whose complex structures arise from a given quaternionic structure. In analogy with the case of irreducible holomorphic symplectic manifolds, we show that the periods of any two complex tori can be joined by a generic chain of twistor lines. We also prove a criterion of twistor path connectivity of loci in Compl where a fixed second cohomology class stays of Hodge type (1,1). Furthermore, we show that twistor lines are holomorphic submanifolds of Compl, of degree 2n in the Plücker embedding of Compl.
AB - As in the case of irreducible holomorphic symplectic manifolds, the period domain Compl of compact complex tori of even dimension 2n contains twistor lines. These are special 2-spheres parametrizing complex tori whose complex structures arise from a given quaternionic structure. In analogy with the case of irreducible holomorphic symplectic manifolds, we show that the periods of any two complex tori can be joined by a generic chain of twistor lines. We also prove a criterion of twistor path connectivity of loci in Compl where a fixed second cohomology class stays of Hodge type (1,1). Furthermore, we show that twistor lines are holomorphic submanifolds of Compl, of degree 2n in the Plücker embedding of Compl.
KW - Complex tori
KW - Hyperkähler manifolds
KW - Twistor lines
KW - Twistor path connectivity
KW - Twistor paths
KW - Hyperkahler manifolds
UR - http://www.scopus.com/inward/record.url?scp=85092495178&partnerID=8YFLogxK
U2 - 10.1007/s10711-020-00566-y
DO - 10.1007/s10711-020-00566-y
M3 - Article
AN - SCOPUS:85092495178
VL - 213
SP - 21
EP - 47
JO - Geometriae Dedicata
JF - Geometriae Dedicata
SN - 0046-5755
IS - 1
ER -
ID: 26008171