Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus (C*)n and pi = pi1(R). We show that H*(R; A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of nonresonant coefficients in a complex...

Performance-dependent options are financial derivatives whose payoff depends on the performance of one asset in comparison to a set of benchmark assets. This paper presents a novel approach to the valuation of general performance-dependent options. To this end, a multidimensional Black-Scholes...

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement Rx, with a combinatorial description similar to that of the well-known...

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if TW is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then the integer cohomology of its complement is...

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex <b>S</b> homotopy equivalent to the arrangement complement <b>ℜ<SUB>x</SUB></b>, with a combinatorial description similar to that of the well-known...</sub>

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then the integer cohomology of its complement is...

Local systems are conglomerations of municipalities held together by commuting links. ? Are they real life objects or the result of some cryptic algorithm? Real life objects. Real life cities, to be precise, even if not made of brick and mortar, but of relationships. Relationships is the matter...

Local systems are conglomerations of municipalities held together by commuting links. ? Are they real life objects or the result of some cryptic algorithm? Real life objects. Real life cities, to be precise, even if not made of brick and mortar, but of relationships. Relationships is the matter...

Facing turmoil and continuous stunning, local governing bodies, decision makers and local actors, in most of cases found the most stable solution has been the regional cooperation and particularly that of increasing and strengthening local human resources capacities at a regional level. Trying...