We use Altmann’s toric fan description of P-resolutions [Alt98] to calculate dimensions of the (reduced) versal base space components for two-dimensional cyclic quotient singularities.

In this paper we present an abstraction algorithm that produces a finite bisimulation quotient for an autonomous discrete-time linear system. We assume that the bisimulation quotient is required to preserve the observations over an arbitrary, finite number of polytopic subsets of the system state space. We generate the bisimulation quotient with the aid of a sequence of contractive polytopic su...

The quotient digit selection in the SRT division algorithm is based on a few most significant bits of the remainder and divisor, where the remainder is usually represented in a redundant representation. The number of leading bits needed depends on the quotient radix and digit set, and is usually found by an extensive search, to assure that the next quotient digit can be chosen as valid for all ...

It is shown that the extended polar space for the sporadic Fischer group Fi22 is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space over GF(2). New examples of EGQ(4, 1) and EGQ(4, 2) are presented as well.

This paper proves that a space X is a weak Cauchy sn-symmetric space iff it is a sequentially-quotient, π-image of a metric space, which answers a question posed by Z. Li. 2000 Mathematics Subject Classification: 54C05, 54C10, 54E40.

Let G be an algebraic torus acting on a smooth variety V . We study the relationship between the various GIT quotients of V and the symplectic quotient of the cotangent bundle of V . Let G be a reductive algebraic group acting on a smooth variety V . The cotangent bundle T V admits a canonical algebraic symplectic structure, and the induced action of G on T V is hamiltonian, that is, it admits ...

For every p ∈ (1, ∞), an isomorphically polyhedral Banach space Ep is constructed which has an unconditional basis and does not embed isomorphically into a C(K) space for any countable and compact metric space K. Moreover, Ep admits a quotient isomorphic to ℓp.

Let G be an algebraic torus acting on a smooth variety V . We study the relationship between the various GIT quotients of V and the symplectic quotient of the cotangent bundle of V . Let G be a reductive algebraic group acting on a smooth variety V . The cotangent bundle T V admits a canonical algebraic symplectic structure, and the induced action of G on T V is hamiltonian, that is, it admits ...