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10 papers · 2 filters
Varieties with vanishing holomorphic Euler characteristic II
Jungkai A. Chen, Zhi Jiang
We continue our study on smooth complex projective varieties of maximal Albanese dimension and of general type satisfying . We formulate a conjectural characteriza…
Bertini irreducibility theorems over finite fields
François Charles, Bjorn Poonen
Given a geometrically irreducible subscheme X in P^n over F_q of dimension at least 2, we prove that the fraction of degree d hypersurfaces H such that the intersection of H and X…
Pathologies of the Brauer-Manin obstruction
Jean-Louis Colliot-Thélène, Ambrus Pál, Alexei N. Skorobogatov
We construct a conic bundle over an elliptic curve over a real quadratic field that is a counterexample to the Hasse principle not explained by the étale Brauer-Manin obstruction.…
Groupe de Brauer non ramifié des espaces homogènes à stabilisateur fini (Unramified Brauer group of homogeneous spaces with finite stabilizer)
Giancarlo Lucchini Arteche
We develop different formulas of algebraic and/or arithmetic nature allowing an explicit calculation, both over a finite field and over a field of characteristic 0, of the algebrai…
Sur le comptage des fibrés de Hitchin nilpotents
Pierre-Henri Chaudouard, Gérard Laumon
This paper is concerned with two problems. One is to count Hitchin bundles on a projective curve and the other is to get an explicit formula for the nilpotent part of the Arthur-Se…
Global Weyl groups and a new theory of multiplicative quiver varieties
Philip Boalch
In previous work a relation between a large class of Kac-Moody algebras and meromorphic connections on global curves was established---notably the Weyl group gives isomorphisms bet…