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Algebraic monodromy groups of vector bundles on p-adic curves
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Ralf Kasprowitz
Veröffentlicht/Copyright:
3. August 2013
Abstract.
C. Deninger and A. Werner (2005, 2007) developed a partial p-adic analogue of the classical Narasimhan-Seshadri correspondence between vector bundles and representations of the fundamental group. We use this theory to prove a connectedness result for the algebraic monodromy groups of vector bundles on a smooth projective curve. We apply this result to the restriction of certain stable vector bundles on the projective space and compute the Tannaka dual groups in this case.
Received: 2010-07-28
Revised: 2012-02-24
Published Online: 2013-08-03
Published in Print: 2013-08-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- The Witten–Reshetikhin–Turaev invariants of finite order mapping tori I
- Birational invariants and 𝔸1-connectedness
- Sums of large global solutions to the incompressible Navier–Stokes equations
- Algebraic monodromy groups of vector bundles on p-adic curves
- The second Stiefel–Whitney class of ℓ-adic cohomology
- A transcendental approach to Kollár's injectivity theorem II
- Critical zeros of Dirichlet L-functions
- The Šafarevič–Tate group in cyclotomic ℤp-extensions at supersingular primes
- Support theory via actions of tensor triangulated categories
Artikel in diesem Heft
- Masthead
- The Witten–Reshetikhin–Turaev invariants of finite order mapping tori I
- Birational invariants and 𝔸1-connectedness
- Sums of large global solutions to the incompressible Navier–Stokes equations
- Algebraic monodromy groups of vector bundles on p-adic curves
- The second Stiefel–Whitney class of ℓ-adic cohomology
- A transcendental approach to Kollár's injectivity theorem II
- Critical zeros of Dirichlet L-functions
- The Šafarevič–Tate group in cyclotomic ℤp-extensions at supersingular primes
- Support theory via actions of tensor triangulated categories
