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Non-compact form of the Elementary Discrete Invariant
Raphaël Fino
We determine the non-compact form of Vishik's Elementary Discrete Invariant for quadrics.
Symmetric correspondences on quadrics
Raphaël Fino
We prove a result comparing the rationality of some elementary algebraic cycles introduced by Alexander Vishik, defined on orthogonal grassmannians, with the rationality of some al…
-invariant of hermitian forms over quadratic extensions
Raphaël Fino
We develop the version of the -invariant for hermitian forms over quadratic extensions in a similar way Alexander Vishik did it for quadratic forms. This discrete invariant cont…
Rationality of cycles over function fields of -torsors
Raphaël Fino
In this note we prove a result comparing rationality of algebraic cycles over the function field of a -torsor for a central simple algebra and over the base field.
Rationality of cycles on function field of exceptional projective homogeneous varieties
Raphael Fino
In this article we prove a result comparing rationality of algebraic cycles over the function field of a projective homogeneous variety under a linear algebraic group of type …
Around rationality of cycles
Raphael Fino
In this article we prove certain results comparing rationality of algebraic cycles over the function field of a quadric and over the base field. Those results have already been pro…