9 papers
Automatically Building and Updating a Knowledge Graph of MLIP Models
Alexis Beer, Liudmyla Klochko, Mathieu d'Aquin
Complementing the many efforts in providing semantic representations of concepts, notions, and entities in materials science, we report and illustrate a process by which we can aut…
The Global Dimension Function on Stability Manifolds
Dongjian Wu, Nantao Zhang
In this paper, we study the reachability and boundary behavior of the global dimension function on Bridgeland stability manifolds. For a smooth projective variety of dimension…
The -Noncommutative Minimal Model Program
Dongjian Wu, Nantao Zhang
In this paper, we study the -equivariant noncommutative minimal model program (-NMMP), as an equivariant generalization of the framework introduced in arXiv:2301.13168. The a…
Stability Conditions and Algebraic Hearts for Acyclic Quivers
Takumi Otani, Dongjian Wu
We study stability conditions on the derived category of a finite connected acyclic quiver. We prove that, for any stability condition on the derived category, its heart can be obt…
A counterexample to the Jordan-Hölder property for polarizable semiorthogonal decompositions
Fabian Haiden, Dongjian Wu
We show that the Jordan-Hölder property fails for polarizable semiorthogonal decompositions -- those where every factor admits a Bridgeland stability condition. Counterexamples exi…
Relative Stability Conditions on Triangulated Categories
Bowen Liu, Dongjian Wu
We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the…
Stability Conditions on
Dongjian Wu, Nantao Zhang
We construct a subset of the space of stability conditions for any projective threefold with an ample polarization that satisfies a certain Bogomolov-Gieseker inequality to refine…
Riemann-Hilbert problems from rank 3 WKB spectral networks
Dongjian Wu
We extract cluster structures and establish spectral coordinates from rank 3 WKB spectral networks when zeros of are almost on a line in the comple…
Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras
Suiqi Lu, Yu Qiu, Dongjian Wu
We prove that the principal component of the exchange graph of hearts of a graded skew-gentle algebra can be identified with the corresponding exchange graph of S-graphs, using the…