18 citations · 47 across the 12 of their papers we have counts for
13 papers
Improving the Bounds on Approximating Weighted Maximin Share for Chores
Trung Thanh Nguyen, Khaled Elbassioni, Jörg Rothe
We investigate the problem of allocating indivisible chores among agents with arbitrary positive weights and additive nonnegative cost functions. An allocation is said to be -we…
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…
Boundedness of the -primary torsion of the Brauer group of an abelian variety
Marco D'Addezio
We prove that the -torsion of the transcendental Brauer group of an abelian variety over a finitely generated field of characteristic is bounded. This answers a (va…
Slopes of -isocrystals over abelian varieties
Marco D'Addezio
We prove that an -isocrystal over an abelian variety defined over a perfect field of positive characteristic has constant slopes. This recovers and extends a theorem of Tsuzuki…
Parabolicity conjecture of -isocrystals
Marco D'Addezio
In this article we prove Crew's parabolicity conjecture of -isocrystals. For this purpose, we introduce and study the notion of -hull of a sub--isocrystal. On the wa…
On the universal extensions in Tannakian categories
Marco D'Addezio, Hélène Esnault
We use the notion of universal extension in a linear abelian category to study extensions of variations of mixed Hodge structure and convergent and overconvergent isocrystals. The…
Some remarks on the companions conjecture for normal varieties
Marco D'Addezio
Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue's result for smooth curves. We study the obstruction to prove…
Maximal tori of monodromy groups of -isocrystals and an application to abelian varieties
Emiliano Ambrosi, Marco D'Addezio
Let be a smooth geometrically connected variety defined over a finite field and let be an irreducible overconvergent -isocrystal on…
On the semi-simplicity conjecture for
Marco D'Addezio
We show that the semi-simplicity conjecture for finitely generated fields follows from the conjunction of the semi-simplicity conjecture for finite fields and for the maximal abeli…
The monodromy groups of lisse sheaves and overconvergent -isocrystals
Marco D'Addezio
It has been proven by Serre, Larsen-Pink and Chin, that over a smooth curve over a finite field, the monodromy groups of compatible semi-simple pure lisse sheaves have "the same" $…