Results 191 to 200 of about 5,926 (266)

Local multiplicativity of perverse filtrations

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson   +2 more
wiley   +1 more source

Quantifying Cardiac, Respiratory, and Low Frequency Components of CSF Motion From fMRI Inflow Effects

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 4, Page 1916-1928, October 2026.
ABSTRACT Purpose Cerebrospinal fluid (CSF) flow oscillations have emerged as a potentially important marker related to brain clearance, but their acquisition often relies on specialized imaging MRI sequences. The purpose of this work was to enable quantitative assessment of CSF flow associated with cardiac, respiratory, and low‐frequency cycles using ...
Pontus Söderström   +5 more
wiley   +1 more source

A Comparison of Tissue Property Values Estimated Using Conventional Cardiac MRF and MT‐Cardiac MRF

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 4, Page 1806-1813, October 2026.
ABSTRACT Purpose To evaluate the impact of explicitly modeling Magnetization Transfer (MT) during reconstruction of cardiac Magnetic Resonance Fingerprinting (cMRF) maps on T1 and T2 quantification. Methods cMRF data were reconstructed using two dictionaries: a conventional cMRF dictionary that ignores MT processes, and an MT‐cMRF dictionary modeling ...
Sydney Kaplan   +7 more
wiley   +1 more source

Abelian number fields with frobenian conditions

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

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