Browsing by Author "Izquierdo, Diego"

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Artículo

Homogeneous spaces, algebraic K-theory and cohomological dimension of fields

Izquierdo, Diego; Lucchini Arteche, Giancarlo (European Mathematical Society, Suiza, 2022)

Let q be a non-negative integer. We prove that a perfect field K has cohomological dimension at most q + 1 if, and only if, for any finite extension L of K and for any homogeneous space Z under a smooth linear connected ...
Artículo

Local-global principles for homogeneous spaces over some two-dimensional geometric global fields

Izquierdo, Diego; Lucchini Arteche, Giancarlo Antonio (Walter de Gruyter GMBH, 2021)

In this article, we study the obstructions to the local-global principle for homogeneous spaces with connected or abelian stabilizers over finite extensions of the field C ((x; y)) of Laurent series in two variables over ...