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University of Alberta
Tue 30 Jun 2015, 3:00pm
Algebraic Groups and Related Structures
MATH 126
Upper-homogeneous varieties
MATH 126
Tue 30 Jun 2015, 3:00pm-4:00pm


We introduce a new class of algebraic varieties which is closed under products and embraces, e.g., projective homogeneous varieties, generically split varieties, and standard norm varieties (associated to symbols in Galois cohomology groups). We prove for this class the characterization of canonical p-dimension in terms of algebraic cycles previously known for projective homogeneous and generically split varieties. As an application, we extend to this class the incompressibility criterion of products previously known only for certain type of projective homogeneous varieties.