Zobrazeno 1 - 10
of 199
pro vyhledávání: '"32Q25"'
Autor:
Harvey, F. Reese, Lawson Jr, H. Blaine
Let ${\mathfrak g}$ be a Garding-Dirichlet operator on the set S(n) of symmetric $n\times n$ matrices. We assume that ${\mathfrak g}$ is $I$-central, that is, $D_I {\mathfrak g} = k I$ for some $k>0$. Then $$ {\mathfrak g}(A)^{1\over N} \ \geq\ {\mat
Externí odkaz:
http://arxiv.org/abs/2407.05408
Autor:
Madsen, Thomas Bruun, Swann, Andrew
We study complete, simply-connected manifolds with special holonomy that are toric with respect to their multi-moment maps. We consider the cases where there is a connected non-Abelian symmetry group containing the torus. For $\mathrm{Spin}(7)$-manif
Externí odkaz:
http://arxiv.org/abs/2407.03693
Autor:
Delcroix, Thibaut, Hultgren, Jakob
We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a Weyl group. When the reflexive Weyl polytope is Delzant, it follows from
Externí odkaz:
http://arxiv.org/abs/2406.02068
We numerically study whether there exist nowhere vanishing harmonic $1$-forms on the real locus of some carefully constructed examples of Calabi-Yau manifolds, which would then give rise to potentially new examples of $G_2$-manifolds and an explicit
Externí odkaz:
http://arxiv.org/abs/2405.19402
Autor:
Nghiem, Tran-Trung
After providing an explicit K-stability condition for a $\mathbb{Q}$-Gorenstein log spherical cone, we prove the existence and uniqueness of an equivariant K-stable degeneration of the cone, and deduce uniqueness of the asymptotic cone of a given com
Externí odkaz:
http://arxiv.org/abs/2405.05833
Autor:
Lee, Tsung-Ju
In this article, we study the finite distance problem with respect to the period-map metric on the moduli of non-K\"{a}hler Calabi--Yau $\partial\bar{\partial}$-threefolds via Hodge theory. We extended C.-L. Wang's finite distance criterion for one-p
Externí odkaz:
http://arxiv.org/abs/2404.19125
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Amp\`ere operator on the boundary of a simplex. This can be formulated in terms of optimal transport, and we consider, more generally, the problem of optimal transp
Externí odkaz:
http://arxiv.org/abs/2403.01620
Autor:
Nghiem, Tran-Trung
We show that on every non-$G_2$ complex symmetric space of rank two, there are complete Calabi-Yau metrics of Euclidean volume growth with prescribed horospherical singular tangent cone at infinity, providing the first examples of affine Calabi-Yau s
Externí odkaz:
http://arxiv.org/abs/2401.05122
We introduce a general technique to construct Lagrangian torus fibrations in degenerations of K\"ahler manifolds. We show that such torus fibrations naturally occur at the boundary of the A'Campo space. This space extends a degeneration over a punctu
Externí odkaz:
http://arxiv.org/abs/2312.13248
Autor:
Hultgren, Jakob
This is an expository paper describing how duality theory for Hessian manifolds provides a natural setting for optimal transport. We explain how this can be used to solve Monge-Amp\`ere equations and survey recent results along these lines with appli
Externí odkaz:
http://arxiv.org/abs/2306.11819