4 papers
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…
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…
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…
Hecke orbits on Shimura varieties of Hodge type
Marco D'Addezio, Pol van Hoften
We prove the Hecke orbit conjecture of Chai--Oort for Shimura varieties of Hodge type at odd primes of good reduction. We use a novel result for the local monodromy groups of -i…