Zobrazeno 1 - 10
of 412
pro vyhledávání: '"Tristán, C."'
In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects in the kernel to have non-maximal phases. We then construct four types
Externí odkaz:
http://arxiv.org/abs/2410.02466
We establish a convergence result for the mean curvature flow starting from a totally real submanifold which is "almost minimal" in a precise, quantitative sense. This extends, and makes effective, a result of H. Li for the Lagrangian mean curvature
Externí odkaz:
http://arxiv.org/abs/2405.11049
Let $P$ be a convex body containing the origin in its interior. We study a real Monge-Amp\`ere equation with singularities along $\del P$ which is Legendre dual to a certain free boundary Monge-Amp\`ere equation. This is motivated by the existence pr
Externí odkaz:
http://arxiv.org/abs/2402.10111
We study the twisted ampleness criterion due to Collins, Jacob and Yau on surfaces, which is equivalent to the existence of solutions to the deformed Hermitian-Yang-Mills (dHYM) equation. When $X$ is a Weierstrass elliptic K3 surface, and $\omega$ an
Externí odkaz:
http://arxiv.org/abs/2306.05620
We study the Strominger system with fixed balanced class. We show that classes which are the square of a K\"ahler metric admit solutions to the system for vector bundles satisfying the necessary conditions. Solutions are constructed by deforming a Ca
Externí odkaz:
http://arxiv.org/abs/2211.03784
Autor:
Collins, Tristan C., Lin, Yu-Shen
We survey the authors recent works, joint with A. Jacob, on Strominger-Yau-Zaslow mirror symmetry for rational elliptic surfaces and del Pezzo surfaces. We discuss some applications, including the Torelli theorem for $ALH^*$ gravitational instantons
Externí odkaz:
http://arxiv.org/abs/2208.14485
Autor:
Collins, Tristan C., Li, Yang
We show that if an exact special Lagrangian $N\subset \mathbb{C}^n$ has a multiplicity one, cylindrical tangent cone of the form $\mathbb{R}^{k}\times \mathbf{C}$ where $\mathbf{C}$ is a special Lagrangian cone with smooth, connected link, then this
Externí odkaz:
http://arxiv.org/abs/2208.02736
Autor:
Collins, Tristan C., Li, Yang
We construct new complete Calabi-Yau metrics on the complement of an anticanonical divisors $D$ in a Fano manifold of dimension at least three, when $D$ consists of two transversely intersecting smooth divisors. The asymptotic geometry is modeled on
Externí odkaz:
http://arxiv.org/abs/2203.10656
Publikováno v:
In Renewable Energy September 2024 231
We consider CFT's arising from branes probing singularities of internal manifolds. We focus on holographic models with internal space including arbtirary Sasaki-Einstein manifolds coming from CY as well as arbitrary sphere quotients. In all these cas
Externí odkaz:
http://arxiv.org/abs/2201.03660