We find the automorphism group of moduli space parabolic bundles on a smooth curve (with fixed determinant and system weights). This is generated by: automorphisms marked curve, tensoring with line bundle, taking dual, Hecke transforms (using filtrations given by structure). A Torelli theorem for arbitrary rank generic weights also obtained. These results are extended to classification biration...

the major problem in the assessment of relationships between rainfall and runoff occurs when a study is carried out in ungauged watersheds in the absence of hydro-climatic data. this study aims to evaluate the applicability of natural resources conservation service-curve number (nrcs-cn) method together with gis in estimating runoff depth in a mountainous watershed. the study was carried out in...

Figure 2: Analysis output of localized H-MRS spectra from the right node of patient 9. The in vivo spectrum (thin grey curve) has been estimated with the LCModel output (thick red curve), and the difference of these spectra (residue) is plotted at the top. Cho, choline. Figure 3: Scatterplot displaying Cho/W concentrations (arbitrary units) as function of FDG uptake (g/mL). The linear regressio...

The Hurwitz scheme was originally conceived as a parameter space for simply branched covers of the projective line. A variant of this is a parameter spaec for simply branched covers of the projective line, up to automorphisms of P the so called unparametrized Hurwitz scheme. Other variants involve fixing branching types which are not necessarily simple (see [D-D-H]). A rigorous algebraic defini...

We define three hard problems in the theory of elliptic divisibility sequences (EDS Association, EDS Residue and EDS Discrete Log), each of which is solvable in subexponential time if and only if the elliptic curve discrete logarithm problem is solvable in sub-exponential time. We also relate the problem of EDS Association to the Tate pairing and the MOV, Frey-Rück and Shipsey EDS attacks on th...

For cubic pencils we define the notion of an involution curve. This is a curve which intersects each pencil in exactly one non-base point pencil. Involution curves can be used to construct integrable maps plane leave invariant

In this paper, we propose a methodology for validating landslide susceptibility results in the Pinggu district (Beijing, China). A landslide inventory including 169 landslides was prepared, and eight factors correlated to landslides (lithology, tectonic faults, topographic elevation, slope gradient, aspect, slope curvature, land use, and road network) were processed, integrating two techniques,...

This paper is the second part of an earlier work devoted to the properties specific to maps of the plane characterized by the presence of a vanishing denominator, which gives rise to the generation of new types of singularities, called set of nondefinition, focal points and prefocal curves. A prefocal curve is a set of points which are mapped (or “focalized”) into a single point, called focal p...