3 papers
math.AT2026
Geometric Points in Tensor Triangular Geometry
Tobias Barthel, Logan Hyslop, Maxime Ramzi
In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions…
math.AT2025
On Hopkins' Picard group
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the algebraic Picard group of the category of -local spectra, for all heights and all primes . In particular, we show that it is always finitely generated o…
math.AT2025
On the rationalization of the -local sphere
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the rational homotopy groups of the -local sphere for all heights and all primes , verifying a prediction that goes back to the pioneering work of Morava in…