Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties
نویسندگان
چکیده
منابع مشابه
Incompressibility of Quadratic Weil Transfer of Generalized Severi-brauer Varieties
Let X be the variety obtained by the Weil transfer with respect to a quadratic separable field extension of a generalized Severi-Brauer variety. We study (and, in some cases, determine) the canonical dimension, incompressibility, and motivic indecomposability of X . We determine canonical 2-dimension of X (in the general case).
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Let F be an arbitrary field. Let A be a central simple F -algebra. Let G be the algebraic group AutA of automorphisms of A. Let XA be the class of finite direct products of projective G-homogeneous F -varieties (the class XA includes the generalized Severi-Brauer varieties of the algebra A). Let p be a positive prime integer. For any variety in XA, we determine its canonical dimension at p. In ...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2011
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748011000090