Finite morphisms to projective space and capacity theory
-
Ted Chinburg
,
Laurent Moret-Bailly
Abstract
We study commutative rings R for which all projective schemes over R have
finite morphisms to a projective space of R. We then use our results to define a new kind of capacity
for adelic subsets of projective flat schemes
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-0801030
Award Identifier / Grant number: DMS-1100355
Award Identifier / Grant number: DMS-11-02208
Funding statement: Ted Chinburg was partially supported by NSF grants DMS-0801030 and DMS-1100355. Moret-Bailly is supported in part by the ANR project “Points entiers et points rationnels”. Pappas is supported in part by NSF Grant DMS11-02208. Taylor was partially supported by a Royal Society Wolfson Merit award.
Acknowledgements
The authors would like to thank the referees for a number of suggestions improving the exposition of this paper.
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Derived Reid's recipe for abelian subgroups of SL3(ℂ)
- An equation linking 𝒲-entropy with reduced volume
- Finite morphisms to projective space and capacity theory
- Simultaneous integer values of pairs of quadratic forms
- Complex Monge–Ampère equations on quasi-projective varieties
- Curvature contraction of convex hypersurfaces by nonsmooth speeds
- Codimension 1 Mukai foliations on complex projective manifolds
-
Boundaries of reduced
- Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
Articles in the same Issue
- Frontmatter
- Derived Reid's recipe for abelian subgroups of SL3(ℂ)
- An equation linking 𝒲-entropy with reduced volume
- Finite morphisms to projective space and capacity theory
- Simultaneous integer values of pairs of quadratic forms
- Complex Monge–Ampère equations on quasi-projective varieties
- Curvature contraction of convex hypersurfaces by nonsmooth speeds
- Codimension 1 Mukai foliations on complex projective manifolds
-
Boundaries of reduced
- Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
