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We prove many new cases of the Inverse Galois Problem for those simple groups arising fromorthogonal groups over finite fields. For example, we show that the finite simple groups Ω2n+1(p) and P&...
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
stratification moduli spaces symplectic orthogonal bundles curve Algebraic Geometry
2012/4/23
A symplectic or orthogonal bundle $V$ of rank $2n$ over a curve has an invariant $t(V)$ which measures the maximal degree of its isotropic subbundles of rank $n$. This invariant $t$ defines stratifica...
Incompressibility of orthogonal grassmannians
Algebraic groups quadratic forms projective homogeneous varieties Chow groups and motives
2011/8/24
Abstract: We prove the following conjecture due to Bryant Mathews (2008). Let Q be the orthogonal grassmannian of totally isotropic i-planes of a non-degenerate quadratic form q over an arbitrary fiel...