22 citations · 33 across the 13 of their papers we have counts for
5 papers · 2 filters
On a motivic interpretation of primitive, variable and fixed cohomology
Chris Peters
This note addresses the motivic nature of some classical cohomological results due to Lefschetz, namely the primitive decomposition (for the cohomology of smooth projective varieti…
A motivic study of generalized Burniat surfaces
Chris Peters
Generalized Burniat surfaces are surfaces of general type with and Euler number obtained by a variant of Inoue's construction method for the classical Burniat surface…
On complete intersections in varieties with finite-dimensional motive
Robert Laterveer, Jan Nagel, Chris Peters
Let be a complete intersection inside a variety with finite dimensional motive and for which the Lefschetz-type conjecture holds. We show how conditions on the nivea…
On rigidity of locally symmetric spaces
Chris Peters
In this note I generalize the classical results of Calabi-Vesentini to certain non-compact locally symmetric domains, namely those that are quotients of a hermitian symmetric domai…
Rigidity of Spreadings and Fields of Definition
Chris Peters
Varieties without deformations are defined over a number field. Several old and new examples of this phenomenon are discussed such as Bely\u ı curves and Shimura varieties. Rigidit…