Dennis Eriksson

Matematiska vetenskaper
Chalmers tekniska högskola och Göteborgs universitet
SE-412 96 Göteborg, Sweden

E-mail: dener /at/ chalmers.se
Phone: +46 (0)31-772 5362


Research

My research interests include Arakelov geometry and related questions. This means I work in algebraic geometry with input from complex geometry, and that I'm inspired by questions coming from number theory. In particular, I have been working on refinements of Riemann-Roch theorems and applications.

Publications:

Discriminants and Artin conductors to appear in Crelle earlier version on arXiv
Galois theory of covers (joint with Ulf Persson) (Normat 2012)
Degenerating Riemann surfaces and the Quillen metric Int Math Res Notices (2012) doi: 10.1093/imrn/rnr234 First published online: January 13, 2012 earlier version on Arxiv
Un isomorphisme de type Deligne–Riemann–Roch Comptes Rendus Mathematique, Volume 347, Issues 19-20, October 2009, Pages 1115-1118
On the Brauer-Manin obstruction for zero-cycles on curves (w. Victor Scharaschkin) Acta Arithmetica, vol. 135, no. 2, pp. 99-110, 2008 earler version on arXiv

Preprints and preliminary versions:

Nonproper intersection theory and positive currents II, global aspects (in preparation, joint with Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan, Alain Yger)
Transfinite diameters and Deligne bundles (work in progress, joint with Sebastian Boucksom).
Kähler quantisation of vortex moduli (work in progress, joint with Nuno Ramao)
A logarithmic interpretation of Edixhoven's jumps for Jacobians submitted, joint with Lars-Halvard Halle and Johannes Nicaise)
Base change conductor for Jacobians (preprint, joint with Lars-Halvard Halle and Johannes Nicaise)
A metrized Deligne-Riemann-Roch theorem (preprint, preliminary version, only the Adams operations are considered in detail)
A Deligne-Riemann-Roch theorem (preprint, preliminary version, results on functorial Grothendieck-Riemann-Roch are only sketched)
The excess formula in functorial form (submitted) arXiv
Refined operations on K-theory by lifting to the virtual category (submitted, current version is a revision in progress) earlier version on arXiv

Last updated: august 14, 2012