Results 61 to 70 of about 193,300 (324)
Monodromy group for a strongly semistable principal bundle over a curve, II
Let $X$ be a geometrically irreducible smooth projective curve defined over a field $k$. Assume that $X$ has a $k$-rational point; fix a $k$-rational point $x\in X$.
Biswas, Indranil, Parameswaran, A. J.
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Making tau amyloid models in vitro: a crucial and underestimated challenge
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Variational Principle for Relative Tail Pressure
We introduce the relative tail pressure to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail pressure is conserved by the principal extension.
Xianfeng Ma, Ercai Chen
doaj +1 more source
An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]
We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
doaj +1 more source
A stepwise emergence of evolution in the RNA world
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
The moduli space of symplectic bundles over a compact Riemann surface and quaternionic structures
Let $ G = \text{Sp}(4, \mathbb{C}) $, $ K_G $ be a maximal compact subgroup of $ G $, $ H $ be the subgroup of $ G $ generated by one of the non-trivial elements of the quaternion group, viewed as a subgroup of $ G $, and $ X $ be a compact Riemann ...
Álvaro Antón-Sancho
doaj +1 more source
Monodromy for principal bundles
Abstract Given a strongly semistable principal bundle E G over a curve, in Biswas et al. (2006) [4] , a group-scheme for it was constructed, which was named as the monodromy group-scheme. Here we extend the construction of the monodromy group-scheme to principal bundles over higher dimensional varieties.
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Remarks on torus principal bundles [PDF]
The author studies principal bundles \(\pi:X \to M\) over a compact complex manifold \(M\) whose structure group is a compact complex torus \(T=\mathbb{C}^ n/ \Lambda\). In general \(X\) is not Kähler even if \(M\) is. Typical examples are Hopf and Calabi-Eckmann manifolds diffeomorphic to products of spheres. These are principal bundles over a product
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A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category of fibers.
Baues, Hans-Joachim, Ferrario, Davide L.
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B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro+2 more
wiley +1 more source