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In this chapter, we consider deformations of a generically log smooth family together with a vector bundle on it. We describe their automorphisms and the Lie–Rinehart pair which controls the deformation theory after a system of deformations has been fixed. We treat the enhanced case in parallel. The most important special case is given by deformations together with a line bundle.

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Deformations with a Vector Bundle

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  • 发表日期：

    2025年

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  • Simon Felten

摘要

In this chapter, we consider deformations of a generically log smooth family together with a vector bundle on it. We describe their automorphisms and the Lie–Rinehart pair which controls the deformation theory after a system of deformations has been fixed. We treat the enhanced case in parallel. The most important special case is given by deformations together with a line bundle.