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Blowing-up Hermitian Yang--Mills connections | | Andrew Clarke
; Carl Tipler
; | | Date: |
2 Jan 2023 | | Abstract: | We investigate hermitian Yang--Mills connections for pullback vector bundles
on blow-ups of K"ahler manifolds along submanifolds. Under some mild
asumptions on the graded object of a simple and semi-stable vector bundle, we
provide a necessary and sufficent numerical criterion for the pullback bundle
to admit a sequence of hermitian Yang--Mills connections for polarisations that
make the exceptional divisor sufficiently small, and show that those
connections converge to the pulled back hermitian Yang-Mills connection of the
graded object. | | Source: | arXiv, 2301.00525 | | Services: | Forum | Review | PDF | Favorites | |
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