3 papers
math.AG2026
The convergent stack
Marco D'Addezio
Inspired by Simpson's de Rham stack and Drinfeld's crystalline stack, we develop a stacky approach to convergent cohomology and convergent isocrystals in positive characteristic. T…
math.AG2025
Logarithmic Dieudonné theory and overconvergent extensions
Marco D'Addezio
In the proof of Crew's parabolicity conjecture, we established a key property concerning the slopes of -hulls of -isocrystals, extending a result of Tsuzuki. This artic…
math.AG2025
Injectivity failure in crystalline comparisons
Daniel Caro, Marco D'Addezio
For smooth affine varieties in positive characteristic, we identify a slope obstruction to the injectivity of the comparison morphism from rigid cohomology to rationalised crystall…