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Teichmüller Curves in Genus 3 and Just Likely Intersections

Research Project
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01.01.2012
 - 31.12.2016

We study algebraically primitive Teichmüller curves in the moduli space of genus 3 algebraic curves. The methods involve, among other things, heights and just likely intersections. Our results are published in "Teichmüller curves in genus three and just likely intersections in ${bf G}_m^ntimes{bf G_a}^n$" joint with M. Bainbridge and M. Möller, Publ. Math. Inst. Hautes Études Sci. 124 (2016).

Collaborations & Cooperations

2020 - Participation or Organization of Collaborations on an international level
Bainbridge, Matthew, University of Indiana Bloomington, Research cooperation
2020 - Participation or Organization of Collaborations on an international level
Möller, Martin, Goethe University, Frankfurt am Main, Research cooperation

Publications

Bainbridge, Matthew, Habegger, Philipp and Möller, Martin (2016) ‘Teichmüller curves in genus three and just likely intersections in mathbf{G}_{m}^{n}timesmathbf{G}_{a}^{n}’, Publications mathematiques de l’IHES, 124(1), pp. 1–98. Available at: https://doi.org/10.1007/s10240-016-0084-6.

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Members (1)

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Philipp Habegger

Principal Investigator