Results 41 to 50 of about 4,761 (119)

Convergent normal form for real hypersurfaces at generic Levi degeneracy [PDF]

open access: yes, 2014
We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface.
Kossovskiy, Ilya, Zaitsev, Dmitri
core  

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source

Addressing Sustainability Challenges in Peptide Synthesis with Flow Chemistry and Machine Learning

open access: yesChemistry – A European Journal, Volume 31, Issue 72, December 23, 2025.
A synthetic protocol for polypeptides 6–58 residue long, using recyclable greener solvent mixture (Anisole/DMSO) was developed and compared to traditional SPPS methods and to state‐of‐the‐art synthesizers. Abstract The high cost and the large amount of toxic waste generated during peptide production overshadow the current technology, requiring the ...
Kristóf Ferentzi   +2 more
wiley   +1 more source

Machine Learning Approaches in Soft Matter Molecular Simulation and Materials Characterization: Challenges and Perspectives

open access: yesChemPlusChem, Volume 90, Issue 12, December 10, 2025.
Rigorous frameworks construction toward the development of science‐based machine learning (ML) schemes: invocation of statistical learning and data‐driven methods within the diverse materials science fields, from materials characterization to molecular modeling utilizing domain knowledge to facilitate fundamental understanding and scientific discovery.
Niki Vergadou, Vassilios Constantoudis
wiley   +1 more source

Floer theory for the variation operator of an isolated singularity

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae   +3 more
wiley   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

π 1 of Miranda moduli spaces of elliptic surfaces. [PDF]

open access: yesBoll Unione Mat Ital (2008), 2022
Lönne M.
europepmc   +1 more source

Deforming nonnormal isolated surface singularities and constructing 3-folds with $\mathbb{P}^1$ as exceptional set

open access: yes, 2015
Normally one assumes isolated surface singularities to be normal. The purpose of this paper is to show that it can be useful to look at nonnormal singularities.
Stevens, Jan
core  

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