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11 papers · 1 filter
On the period-index problem in light of the section conjecture
Jakob Stix
Period and index of a curve over a -adic local field such that the fundamental group admits a splitting are shown to be powers of . As a consequence, exa…
Remarks on derived equivalences of Ricci-flat manifolds
Daniel Huybrechts, Marc Nieper-Wisskirchen
We present results indicating that the decomposition of a Ricci-flat manifold in its irreducible factors is reflected by the derived category of coherent sheaves. More precisely, w…
On the Hodge-Newton filtration for p-divisible O-modules
Elena Mantovan, Eva Viehmann
The notions Hodge-Newton decomposition and Hodge-Newton filtration for F-crystals are due to Katz and generalize Messing's result on the existence of the local-étale filtration for…
Deligne-Lusztig varieties and period domains over finite fields
S. Orlik, M. Rapoport
We prove that the Drinfeld halfspace is essentially the only Deligne-Lusztig variety which is at the same time a period domain over a finite field. This is done by comparing a coho…
Local Models in the ramified case. III. Unitary groups
G. Pappas, M. Rapoport
We continue our study of the reduction of PEL Shimura varieties with parahoric level structure at primes p at which the group that defines the Shimura variety ramifies. We describe…
-objects and autoequivalences of derived categories
D. Huybrechts, R. P. Thomas
We describe new autoequivalences of derived categories of coherent sheaves arising from what we call -objects of the category. Standard examples arise from holomorphic…