188 citations · 645 across the 43 of their papers we have counts for
8 papers · 1 filter
Cohomological boundedness for flat bundles on surfaces and applications
Haoyu Hu, Jean-Baptiste Teyssier
This paper explores the cohomological consequences of the existence of moduli spaces for flat bundles with bounded rank and irregularity at infinity and gives unconditional proofs.…
Semi-continuity of conductors, and ramification bound of nearby cycles
Haoyu Hu
For a constructible étale sheaf on a smooth variety of positive characteristic ramified along an effective divisor, the largest slope in Abbes and Saito's ramification theory of th…
Characteristic cycle and wild ramification for nearby cycles of étale sheaves
Haoyu Hu, Jean-Baptiste Teyssier
In this article, we give a bound for the wild ramification of the monodromy action on the nearby cycles complex of a locally constant étale sheaf on the generic fiber of a smooth s…
Logarithmic ramifications of étale sheaves by restricting to curves
Haoyu Hu
In this article, we prove that the Swan conductor of an étale sheaf on a smooth variety defined by Abbes and Saito's logarithmic ramification theory can be computed by its classica…
Relative singular support and the semi-continuity of characteristic cycles for étale sheaves
Haoyu Hu, Enlin Yang
Recently, the singular support and the characteristic cycle of an étale sheaf on a smooth variety over a perfect field are constructed by Beilinson and Saito, respectively. In this…
Semi-continuity for total dimension divisors of étale sheaves
Haoyu Hu, Enlin Yang
In this article, we extend a pull-back inequality for total dimension divisors of étale sheavs due to Saito. Using this formula, we generalize Deligne and Laumon's lower semi-conti…
Refined characteristic class and conductor formula
Haoyu Hu
In this article, we prove a conductor formula in a geometric situation that generalizes the Grothendieck-Ogg-Shafarevich formula. Our approach uses the ramification theory of Abbes…
Ramification and nearby cycles for l-adic sheaves on relative curves
Haoyu Hu
Deligne and Kato proved a formula computing the dimension of the nearby cycles complex of an l-adic sheaf on a relative curve over an excellent strictly henselian trait. In this ar…