The p-adic version of the
Oka-Grauert-Gromov Principle
Professor Pit-Mann Wong
Abstract
The
theory of complex Stein spaces can be extended to some extent to p-adic “Stein”
spaces. The simplest form of the Oka-Grauert-Gromov
Principle asserts that complex analytic bundles over complex Euclidean spaces
are holomorphically trivial. In the p-adic case it
was conjectured by Serre and resolved in the
affirmative by Quillen and Suslin
that the same is true for algebraic bundles. We shall show that this is true
also for p-adic
analytic bundles. This result can be used to establish a structure theorem for
the base locus of jet bundles of any order.
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Room 517, Meng Wah Complex, HKU |
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All are
welcome |
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