Balanced superprojective varieties

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Catenacci, R.^2,3  Debernardi, M.²  Grassi, P. A.^1,2,3  Matessi, D.² 

[1] Ctr Studi & Ric E Fermi, I-00184 Rome, Italy

[2] Univ Piemonte Orientale, DISTA, I-15100 Alessandria, Italy

[3] Ist Nazl Fis Nucl, Sez Torino, Grp Coll Alessandria, Milan, Italy

关键词: Supermanifolds;    Supergeometry;    Balanced varieties;   

DOI  :  10.1016/j.geomphys.2009.07.002

来源: Elsevier

【 摘 要 】

We first review the definition of superprojective spaces from the functor-of-points perspective. We derive the relation between superprojective spaces and supercosets in the framework of the theory of sheaves. As an application of the geometry of superprojective spaces, we extend Donaldson's definition of balanced manifolds to supermanifolds and we derive the new conditions of a balanced supermanifold. We apply the construction to superpoints viewed as submanifolds of superprojective spaces. We conclude with a list of open issues and interesting problems that can be addressed in the present context. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free