F
Florent Martin
Researcher at University of Regensburg
Publications - 23
Citations - 159
Florent Martin is an academic researcher from University of Regensburg. The author has contributed to research in topics: Ample line bundle & Cohomology. The author has an hindex of 7, co-authored 22 publications receiving 126 citations. Previous affiliations of Florent Martin include Lille University of Science and Technology.
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On Zhang's semipositive metrics
Walter Gubler,Florent Martin +1 more
TL;DR: The set of semipositive model metrics is closed with respect to pointwise convergence generalizing a result from Boucksom, Favre and Jonsson where $K$ was assumed to be discretely valued with residue characteristic $0$.
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Differentiability of non-archimedean volumes and non-archimedean Monge-Amp\`ere equations (with an appendix by Robert Lazarsfeld)
TL;DR: In this paper, it was shown that the non-archimedean volume is differentiable at a continuous semipositive metric and that the derivative is given by integration with respect to a Monge-Ampere measure.
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Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals
TL;DR: In this article, it was shown that the semipositive envelope is a continuous semipoSitive metric on L-an and that the non-archimedean Monge-Ampere equation has a solution.
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Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by Jos\'e Ignacio Burgos Gil and Mart\'in Sombra)
TL;DR: In this article, it was shown that the semipositive envelope of a smooth projective variety X over a non-archimedean field K is a continuous SNC, and that the monge-ampere equation has a solution.
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Analytic functions on tubes of non-Archimedean analytic spaces
Florent Martin,Christian Kappen +1 more
TL;DR: In this article, the authors give an explicit description of analytic functions whose norm is bounded by a given real number on tubes of reduced analytic spaces associated to special formal schemes (those include $k$-affinoid spaces as well as open polydiscs).