Depth, proximity, and tactile sensors are often used in robotic object manipulation. The three types of combined to address each sensor limitation: Depth use is limited by blind spots measurable range, proximity millimetric distances, the requires direct contact with object. Here we present a novel that can simultaneously measure distance surface tilt, as well force. We demonstrated advantage t...

Let S be a smooth complex projective surface and Hilbn(S) the Hilbert scheme of all length n zero-dimensional subschemes of S. It is known (cf. [Fo]) that Hilbn(S) is a smooth projective variety of dimension 2n. The structure of the cohomology ring ofHilbn(S) for a fixed n is rather difficult to understand. However, when we consider the direct sum ⊕ n≥0 H ∗(Hilbn(S)) (all cohomology in this pap...

By a quasi-connected reductive group (a term of Labesse) over an arbitrary field we mean almost direct product connected semisimple and quasi-torus smooth multiplicative type). We show that linear algebraic is if only it isomorphic to normal subgroup group. compute the first Galois cohomology set $$H^1({\mathbb {R}},G)$$ G $${\mathbb {R}}$$ real numbers in terms certain action Weyl on fundament...

We investigate int-amplified endomorphisms on normal projective surfaces. prove that the output of equivariant MMP is either a Q-abelian surface, (equivariant) quasi-étale quotient smooth Mori dream space, or cone an elliptic curve.

We generalize the transfinite triangular interpolant of (Nielson, 1987) in order to generate visually smooth (not necessarily polynomial) local interpolating quasi-optimal triangular spline surfaces. Given as input a triangular mesh stored in a half-edge data structure, at first we produce a local interpolating network of curves by optimizing quadratic energy functionals described along the arc...

Nonlinear piston-mode fluid resonance in the gap formed by two identical fixed barges close proximity is investigated using a two-dimensional (2D) fully nonlinear numerical wave tank. To delve into effect of water depth on higher-order resonances gap, consistent models are employed to describe incident waves and wave-structure interactions for finite shallow depths. In contrast previous studies...

We consider the possibility of using locally supported quasi-interpolation operators for the approximation of univariate non-smooth functions. In such a case one usually expects the rate of approximation to be lower than that of smooth functions. It is shown in this paper that prior knowledge of the type of ’singularity’ of the function can be used to regain the full approximation power of the ...

We will construct a Quillen model structure out of the multiplier ideal sheaves on a smooth quasi-projective variety using earlier works of Isaksen and Barnea and Schlank. We also show that fibrant objects of this model category are made of kawamata log terminal pairs in birational geometry.

We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.

In this paper we establish a connection between the associated variety of a representation and the existence of certain degenerate Whittaker functionals, for both smooth and K-finite vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant, Matumoto and others.