We describe an equivalence between the notion of balanced twisted curve introduced by Abramovich and Vistoli, and a new notion of log twisted curve, which is a nodal curve equipped with some logarithmic data in the sense of Fontaine and Illusie. As applications of this equivalence, we construct a universal balanced twisted curve, prove that a balanced twisted curve over a general base scheme ad...

Crop improvement efforts are targeting increased above-ground biomass and radiation-use efficiency as drivers for greater yield. Early ground cover and canopy height contribute to biomass production, but manual measurements of these traits, and in particular above-ground biomass, are slow and labor-intensive, more so when made at multiple developmental stages. These constraints limit the abilit...

We describe a technique for surface and subsurface micromachining of glass substrates by using tightly focused femtosecond laser pulses at a wavelength of 1660 nm. A salient feature of pulsed laser micromachining is its ability to drill subsurface tunnels into glass substrates. To demonstrate a potential application of this micromachining technique, we fabricate simple microfluidic structures o...

We prove that invariance of a quantum theory under the semiclassical vs. strong– quantum duality S/~ ←→ ~/S, where S is the classical action, is equivalent to noncommutativity (of the Heisenberg–algebra type) of the coordinates of the space on which S is defined. We place these facts in correspondence with gerbes and Neveu– Schwarz B–fields and discuss their implications for a quantum theory of...

A young woman with Li-Fraumeni syndrome (LFS) was referred to our hospital. On examination, multiple flat neoplasms were detected in addition to semi-pedunculated polyps. Restorative proctocolectomy was performed; one submucosal invasive cancer, two mucosal cancers, and several adenomas with high-grade dysplasia were detected. On immunohistochemical staining with p53, every part of all neoplasm...

Let R be a Dedekind domain. In [6], Enochs’ solution of the Flat Cover Conjecture was extended as follows: (∗) If C is a cotorsion pair generated by a class of cotorsion modules, then C is cogenerated by a set. We show that (∗) is the best result provable in ZFC in case R has a countable spectrum: the Uniformization Principle UP implies that C is not cogenerated by a set whenever C is a cotorsi...

Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincaré symmetry of flat spacetime to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and ...

Geodesically complete affine manifolds are quotients of the Euclidean space through a properly discontinuous action of a subgroup of affine Euclidean transformations. An equivalent definition is that the tangent bundle of such a manifold admits a flat, symmetric and complete connection. If the completeness assumption is dropped, the manifold is not necessarily obtained as the quotient of the Eu...

the degradation rate of mediterranean steppes, especially in north africa is 1% per year, and this considered as high a rate of degradation. this study conducted in 2014 in the south slope of the al-jabal al-akhdar, northeast libya to quantify the vegetation recovery rate and assess selected vegetation indices (vis) for mapping rangelands degradation status using remote sensing technology. thro...

dually flat finsler metrics form a special and valuable class of finsler metrics in finsler information geometry,which play a very important role in studying flat finsler information structure. in this paper, we prove that everylocally dually flat generalized randers metric with isotropic s-curvature is locally minkowskian.