Abstract Motivated by the problem of finding algebraic constructions finite coverings in commutative algebra, Steinitz realization number theory and study Hurwitz spaces geometry, we investigate vector bundles underlying structure sheaf a flat branched covering. We prove that, up to twist, every bundle on smooth projective curve arises from direct image smooth, connected cover.

The purpose of the current Letter is to give some relations between gravitational lensing in the strong-deflection limit and the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. On the one side, the relations obtained can give a physical interpretation of the strong-deflection limit parameters. On the other side, they also give an alternative metho...

Graphene-based nanostructures exhibit flat electronic energy bands in their single-particle spectrum. We consider interacting electrons in flat bands of zigzag nanoribbons. We present a protocol for flat-band projection that yields interaction-only tight-binding models. We argue that, at low densities, flat bands can delocalize single-particle basis states to support ferromagnetic quantum cryst...

BACKGROUND This study investigated the microclimatic behavior of different land cover types in urban parks and, the correlation between air temperature and land cover composition to understand how land cover affects outdoor thermal environment during hot summer. METHODS To address this issue, air temperatures were measured on four different land cover types at four observation sites inside an...

In this paper we use the schema theory presented in [Poli and McPhee, 2000] to better understand the changes in size distribution when using GP with standard crossover and linear structures. Applications of the theory to problems both with and without fitness suggest that standard crossover induces specific biases in the distributions of sizes, with a strong tendency to over sample small struct...

In this paper we prove that it is consistent that every γ-set is countable while not every strong measure zero set is countable. We also show that it is consistent that every strong γ-set is countable while not every γ-set is countable. On the other hand we show that every strong measure zero set is countable iff every set with the Rothberger property is countable. A set of realsX has strong me...

Let G be a connected complex reductive group acting on a smooth algebraic variety X. Then the cotangent bundle T ∗ X on X carries a canonical symplectic structure, and the G-action induces a moment map Φ : T ∗ X → g . Consider the Hamiltonian vector fields attached to functions of the form f ◦ Φ with f ∈ C[g]. In this paper we study the asymptotic behavior of the associated flow (a so-called in...

A rectangular rod is placed in a flow field flowing parallel to a flat plate. Effect of chord-thickness ratio of rectangular rod on developing vortex shedding downstream to the rod is studied. Then, for each one of the aspect ratios, the distance of the rod from the neighboring flat plate is reduced until the rod sticks to the flat plate. In each case, the effect of the flat plate boundary laye...

The axion solution of the strong CP problem is reviewed together with the other strong CP solutions. We also point out the quintessential axion(quintaxion) whose potential can be extremely flat due to the tiny ratio of the hidden sector quark mass and the intermediate hidden sector scale. The quintaxion candidates are supposed to be the string theory axions, the model independent or the model d...