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A duality theorem for Dieudonné displays

Eike Lau (2009)

Annales scientifiques de l'École Normale Supérieure

We show that the Zink equivalence between p -divisible groups and Dieudonné displays over a complete local ring with perfect residue field of characteristic p is compatible with duality. The proof relies on a new explicit formula for the p -divisible group associated to a Dieudonné display.

A finiteness result for the compactly supported cohomology of rigid analytic varieties, II

Roland Huber (2007)

Annales de l’institut Fourier

Let h : X Y be a separated morphism of adic spaces of finite type over a non-archimedean field k with Y affinoid and of dimension 1 , let L be a locally closed constructible subset of X and let g : ( X , L ) Y be the morphism of pseudo-adic spaces induced by h . Let A be a noetherian torsion ring with torsion prime to the characteristic of the residue field of the valuation ring of k and let F be a constant A -module of finite type on ( X , L ) e ´ t . There is a natural class 𝒞 ( Y ) of A -modules on Y e ´ t generated by the constructible A -modules...

A footnote to a paper by Noma

Antonio Lanteri, Francesco Russo (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let E be a globally generated ample vector bundle of rank 2 on a complex projective smooth surface X . By extending a recent result by A. Noma, we classify pairs X , E as above satisfying c 2 E = 2 .

A geometric description of Hazama's exceptional classes

Federica Galluzzi (2000)

Bollettino dell'Unione Matematica Italiana

Sia X una varietà abeliana complessa di tipo Mumford. In queste note daremo una descrizione esplicita delle classi eccezionali in B 2 X × X trovate da Hazama in [Ha] e le descriveremo geometricamente usando la grassmaniana delle rette di P 7 .

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