Stable models of Lubin-Tate curves with level three

Abstract

We construct a stable formal model of a Lubin-Tate curve with level three, and study the action of a Weil group and a division algebra on its stable reduction. Further, we study a structure of cohomology of the Lubin-Tate curve. Our study is purely local and includes the case where the characteristic of the residue field of a local field is two.

36 pages

References in corpus (2)

• Theorie de Lubin-Tate non-abelienne et representations elliptiques
• Cohomology of rigid curves with semi-stable coverings

Cited by in corpus (4)

• Local Galois representations of Swan conductor one
• Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case