Results 21 to 30 of about 165,935,065 (199)

Milnor number equals Tjurina number for functions on space curves [PDF]

, 2001
The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond, Mond, D. (David), Straten, Duco van, Duco Van Straten   +3 more
core   +1 more source

MULTISCALE SPARSE APPEARANCE MODELING AND SIMULATION OF PATHOLOGICAL DEFORMATIONS

ICTACT Journal on Image and Video Processing, 2017
Machine learning and statistical modeling techniques has drawn much interest within the medical imaging research community. However, clinically-relevant modeling of anatomical structures continues to be a challenging task.
Rami Zewail, Ahmed Hag-ElSafi
doaj   +1 more source

Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]

, 2010
In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L., Dep Wiskunde, Analysis, Sub Analysis begr. 01-01-2014, Boer, A., Quintero Velez, A.   +5 more
core   +2 more sources

Matrix factorizations and elliptic fibrations

Nuclear Physics B, 2016
I use matrix factorizations to describe branes at simple singularities of elliptic fibrations. Each node of the corresponding Dynkin diagrams of the ADE-type singularities is associated with one indecomposable matrix factorization which can be deformed ...
Harun Omer
doaj   +1 more source

Differential forms on free and almost free divisors [PDF]

, 2000
We introduce a variant of the usual Kähler forms on singular free divisors, and show that it enjoys the same depth properties as Kähler forms on isolated hypersurface singularities.
Mond, D. (David)
core   +1 more source

Deformations of Calabi–Yau varieties with k-liminal singularities

Forum of Mathematics, Sigma
The goal of this paper is to describe certain nonlinear topological obstructions for the existence of first-order smoothings of mildly singular Calabi–Yau varieties of dimension at least $4$ .
Robert Friedman, Radu Laza
doaj   +1 more source

T-branes, monopoles and S-duality

Journal of High Energy Physics, 2017
M2 branes probing T-brane backgrounds in M-theory with ADE surface singularities perceive deformations on their worldvolume superpotentials by monopole operators.
Andrés Collinucci, Simone Giacomelli, Roberto Valandro   +2 more
doaj   +1 more source

Singularities of Whitham Deformations [PDF]

, 2021
Constant mean curvature planes of finite type in Euclidean 3-space are in correspondence with spectral data, consisting of a hyperelliptic (spectral) curve, two meromorphic differentials, and a line bundle.
Mangalath, Vishnu
core  

The role of U(1)’s in 5d theories, Higgs branches, and geometry

Journal of High Energy Physics, 2020
We explore the Higgs branches of five-dimensional N $$ \mathcal{N} $$ = 1 quiver gauge theories at finite coupling from the paradigm of M-theory on local Calabi-Yau threefolds described as ℂ∗-fibrations over local K3’s.
Andrés Collinucci, Roberto Valandro
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source