Let X be a projective geometrically irreducible non-singular algebraic curve defined over a finite field Fq2 of order q . If the number of Fq2 -rational points of X satisfies the Hasse-Weil upper bound, then X is said to be Fq2 -maximal. For a point P0 ∈ X (Fq2 ), let π be the morphism arising from the linear series D := |(q + 1)P0|, and let N := dim(D). It is known that N ≥ 2 and that π is ind...

In recent years there has been a tremendous spurt in research and activity in finding efficient compression techniques for image processing applications. Particularly when an image is structured over a nonrectangular region, it is always advantageous to define a method of covering a region by minimal numbers of maximal rectangles. Towards this objective, we analyze the binary image compression ...

The first author had shown earlier that for a standard graded ring R and ideal I in characteristic p > 0 , with ? ( / ) < ? there exists compactly supported continuous function f whose Riemann integral is the HK multiplicity e H K . We explore further some other invariants, namely shape of graph m (where maximal maximum support (denoted as ? In case domain dimension d ? 2 we prove regular if on...

We prove that the associated variety of a Poisson prime ideal of the centre of a symplectic reflection algebra at parameter t = 0 is irreducible.

For every hyperbolic group, we construct an ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that several Measure Equivalence and Orbit Equivalence rigidity results established in [26] hold for all non-elementary hyperbolic groups and their non-elementary subgroups. For any subgroup Γ o...