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Canonical dimension of projective PGL_1(A)-homogeneous varieties | | Bryant G. Mathews
; | | Date: |
30 Mar 2009 | | Abstract: | Let A be a central division algebra over a field F with ind A = n. In
computing canonical p-dimension of projective PGL_1(A)-homogeneous varieties,
for p prime, we can reduce to the case of generalized Severi-Brauer varieties
X_e(A) with ind A a power of p divisible by e. We prove that canonical
2-dimension (and hence canonical dimension) equals dimension for all X_e(A)
with ind A = 2e a power of 2. | | Source: | arXiv, 0903.5314 | | Services: | Forum | Review | PDF | Favorites | |
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