3 papers
math.RT2026
Geometric purity and the frame of smashing ideals
Juan Omar Gómez, Maurcio Medina-Barcenas, Greg Stevenson +2
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic stud…
math.RT2025
Notes on Cohomological Finite Generation for Finite Group Schemes
Juan Omar Goméz, Chris J. Parker
These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Co…
math.RT2025
The Balmer spectrum of integral permutation modules
Umesh V Dubey, Juan Omar Gómez
We extend the analysis of Balmer and Gallauer on the tt-geometry of the small derived category of permutation modules for a finite group over a field to the setting of a commutativ…