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Let L be a finite extension of ℚp. We prove under mild hypotheses Breuil’s locally analytic socle conjecture for GL2(L), showing the existence of all the companion points on the… Click to show full abstract
Let L be a finite extension of ℚp. We prove under mild hypotheses Breuil’s locally analytic socle conjecture for GL2(L), showing the existence of all the companion points on the definite (patched) eigenvariety. This work relies on infinitesimal “R = T” results for the patched eigenvariety and the comparison of (partially) de Rham families and (partially) Hodge–Tate families. This method allows in particular to find companion points of non-classical points.
Keywords:
locally analytic;
gl2;
companion points;
analytic socle;
companion
Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!