LowM*-Estimates on Coordinate Subspaces

M ay 1 99 6 LOW M ∗ - ESTIMATES ON COORDINATE SUBSPACES

Let K be a symmetric convex body in R. It is well-known that for every θ ∈ (0, 1) there exists a subspace F of R with dimF = [(1− θ)n] such that (∗) PF (K) ⊇ c √ θ MK Dn ∩ F, where PF denotes the orthogonal projection onto F . Consider a fixed coordinate system in R. We study the question whether an analogue of (∗) can be obtained when one is restricted to choose F among the coordinate subspace...

Irregularity of Hypergeometric Systems via Slopes along Coordinate Subspaces

We study the irregularity sheaves attached to the A-hypergeometric D-module MA(β) introduced by Gel’fand et al., where A ∈ Z d×n is pointed of full rank and β ∈ C. More precisely, we investigate the slopes of this module along coordinate subspaces. In the process we describe the associated graded ring to a positive semigroup ring for a filtration defined by an arbitrary weight vector L on torus...

Comment on frame's of subspaces

Maximal prehomogeneous subspaces on classical groups

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

Improved estimates of coordinate error for molecular replacement

The estimate of the root-mean-square deviation (r.m.s.d.) in coordinates between the model and the target is an essential parameter for calibrating likelihood functions for molecular replacement (MR). Good estimates of the r.m.s.d. lead to good estimates of the variance term in the likelihood functions, which increases signal to noise and hence success rates in the MR search. Phaser has hithert...