K
Klaus Künnemann
Researcher at University of Regensburg
Publications - 19
Citations - 360
Klaus Künnemann is an academic researcher from University of Regensburg. The author has contributed to research in topics: Abelian group & Toric variety. The author has an hindex of 11, co-authored 19 publications receiving 325 citations. Previous affiliations of Klaus Künnemann include University of Cologne & Institut des Hautes Études Scientifiques.
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Projective regular models for abelian varieties, semistable reduction, and the height pairing
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Hermitian vector bundles and extension groups on arithmetic schemes. I. Geometry of numbers
Jean-Benoît Bost,Klaus Künnemann +1 more
TL;DR: In this paper, the first arithmetic extension group ExtˆX1(F,G) was introduced, which is an extension by groups of analytic types of the usual extension groups attached to OX-modules F and G over an arithmetic scheme X.
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Hermitian vector bundles and extension groups on arithmetic schemes. II. The arithmetic Atiyah extension
Jean-Benoît Bost,Klaus Künnemann +1 more
TL;DR: In this paper, an arithmetic analogue of the Atiyah extension is introduced, which defines an element (the arithmetic Atiyah class) in a suitable arithmetic extension group and studies its vanishing in the case of hermitian line bundles.
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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.