Results 61 to 70 of about 10,279 (192)
L1TV Computes the Flat Norm for Boundaries
Abstract and Applied Analysis, 2007 We show that the recently introduced L1TV functional can be used to explicitly compute the flat norm for codimension one boundaries. Furthermore, using L1TV, we also obtain the flat norm decomposition.
Simon P. Morgan, Kevin R. Vixie
doaj +1 more source
Birationally rigid complete intersections of codimension two [PDF]
arXiv, 2016 We prove that in the parameter space of $M$-dimensional Fano complete intersections of index one and codimension two the locus of varieties that are not birationally superrigid has codimension at least $\frac12 (M-9)(M-10)-1$.
arxiv
Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
An Extension Theorem for Real Kahler Submanifolds in Codimension Four [PDF]
arXiv, 2012 In this article, we prove a Kahler extension theorem for real Kahler submanifolds of codimension 4 and rank at least 5. Our main theorem states that such a manifold is a holomorphic hypersurface in another real Kahler submanifold of codimension 2. This generalizes a result of Dajczer and Gromoll in 1997 which states that any real Kahler submanifolds of
arxiv
Non‐isotopic splitting spheres for a split link in S4$S^4$
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract We show that there exist split, orientable, 2‐component surface‐links in S4$S^4$ with non‐isotopic splitting spheres in their complements. In particular, for non‐negative integers m,n$m,n$ with m⩾4$m\geqslant 4$, the unlink Lm,n$L_{m,n}$ consisting of one component of genus m$m$ and one component of genus n$n$ contains in its complement two ...
Mark Hughes, Seungwon Kim, Maggie Miller
wiley +1 more source
Operator product expansion for conformal defects
Journal of High Energy Physics, 2018 We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT. The OPE for defects is decomposed into “defect OPE blocks”, the irreducible representations of the conformal group, each of which packages the ...
Masayuki Fukuda +2 more
doaj +1 more source
Polar foliations on quaternionic projective spaces [PDF]
arXiv, 2015 We classify irreducible polar foliations of codimension $q$ on quaternionic projective spaces $\mathbb H P^n$, for all $(n,q)\neq(7,1)$. We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on $\mathbb H P^n$ are homogeneous if and only if $n+1$ is a prime number (resp. $n$ is even or $n=1$).
arxiv
Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
wiley +1 more source
Bifurcation Analysis of a Discrete Basener–Ross Population Model: Exploring Multiple Scenarios
ComputationThe Basener and Ross mathematical model is widely recognized for its ability to characterize the interaction between the population dynamics and resource utilization of Easter Island.
A. A. Elsadany +3 more
doaj +1 more source
On the regularity of CR mappings in higher codimension [PDF]
arXiv, 2002 We give a proof of the regularity of Holder CR homeomorphisms of strictly pseudo convex CR manifolds of higher codimension.
arxiv