Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10)

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Polishchuk, Alexander¹  Samokhin, Alexander² 

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Inst Informat Transmiss Problems, Sect Algebra & Number Theory, Moscow 127994, Russia

关键词: Derived category;    Exceptional collections;    Lagrangian Grassmannian;   

DOI  :  10.1016/j.geomphys.2011.05.011

来源: Elsevier

【 摘 要 】

We construct full exceptional collections in the derived categories of coherent sheaves on the Lagrangian Grassmannians LG(4, 8) and LG(5, 10). The construction is radically different from all the previously considered homogeneous spaces in that one has to use homogeneous bundles associated with reducible representations of the parabolic subgroup. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free