scholarly journals A categorical characterization of quantum projective spaces

2021 ◽  
Author(s):  
Izuru Mori ◽  
Kenta Ueyama
Keyword(s):  
Projective Spaces

A Characterization of Products of Projective Spaces

2006 ◽  
Vol 49 (2) ◽  
pp. 270-280 ◽  
Author(s):  
Gianluca Occhetta
Keyword(s):  
Projective Spaces ◽  
Rational Curves

AbstractWe give a characterization of products of projective spaces using unsplit covering families of rational curves.

scholarly journals Homogeneous structures on Kähler submanifolds of complex projective spaces

1996 ◽  
Vol 39 (2) ◽  
pp. 381-395 ◽  
Author(s):  
Sergio Console ◽  
Anna Fino
Keyword(s):  
Unitary Representation ◽  
Tensor Field ◽  
Projective Spaces ◽  
Homogeneous Structure ◽  
Complex Projective Spaces ◽  
Homogeneous Structures ◽  
Kähler Submanifolds ◽  
Complex Projective

In this paper we give a differential characterization of homogeneous Kähler submanifolds of complex projective spaces in terms of the existence of a tensor field, the homogeneous structure S. We show that for any m∈M, Sm determines a unitary representation whose orbit at m is a compact, complete Kähler submanifold which extends M. We consider the U(n) × U(N ~ n) (n = dim ℂM) module of the space of these tensors and we find its irreducible factors.

CHARACTERIZING HERMITIAN VARIETIES IN THREE- AND FOUR-DIMENSIONAL PROJECTIVE SPACES

2018 ◽  
Vol 107 (1) ◽  
pp. 1-8 ◽  
Author(s):  
ANGELA AGUGLIA
Keyword(s):  
Projective Spaces ◽  
Intersection Numbers

We characterize Hermitian cones among the surfaces of degree$q+1$of$\text{PG}(3,q^{2})$by their intersection numbers with planes. We then use this result and provide a characterization of nonsingular Hermitian varieties of$\text{PG}(4,q^{2})$among quasi-Hermitian ones.

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