Projective homogeneous varieties birational to quadrics - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We will consider an explicit birational map between a quadric and theprojective variety XJ of traceless rank one elements in a simple reducedJordan algebra J. XJ is a homogeneous G-variety for the automorphism groupG=AutJ. We will show that the birational map is a blow up followed by a blowdown. This will allow us to use the blow up formula for motives together withVishik-s work on the motives of quadrics to give a motivic decomposition ofXJ.



Author: Mark L. MacDonald

Source: https://arxiv.org/







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