Deformation theory of orthogonal and symplectic sheaves

被引：0
|
作者：
Franco, Emilio [1 ]
机构：
[1] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, Campus Cantoblanco, Madrid 28049, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 189卷
关键词：
Deformation theory; Principal sheaves; Moduli spaces; INSTANTON BUNDLES; MODULI SPACE; PRINCIPAL BUNDLES; IRREDUCIBILITY; SMOOTHNESS;
D O I：
10.1016/j.geomphys.2023.104834
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the deformation functor of an orthogonal (resp. symplectic) sheaf over a smooth projective scheme admits a miniversal pro-family, identifying its space of first -order deformations with the first hypercohomology space of a complex which is naturally constructed out of the orthogonal (resp. symplectic) sheaf. We also provide an obstruction theory of these objects whose target is the second hypercohomology space of this complex.(c) 2023 Elsevier B.V. All rights reserved.
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页数：19
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