Shaowu Zhang

Claimed by OpenAI. Claims every nonempty connected open set in the Riemann sphere is conformally equivalent to a circle domain whose complementary components are closed round disks…

Claimed by OpenAI. For a natural number $d$ and $\epsilon>0$, the manuscript claims a uniform $t=t(d,\epsilon)>0$: if $(X,B)$ is an $\epsilon$-lc pair of dimension $d$, $f:X\to Z$…

Claimed by OpenAI. This is conditional progress concerning the existence of Arthur parameters for occurring cuspidal excursion parameters at the specified full finite level. The ma…

Claimed by OpenAI. This addresses the existence problem in the subclass of smooth complex projective threefolds with trivial canonical bundle. Theorem 1.1 allows open neighborhoods…

Claimed by OpenAI. The source assumes a surjective connected-fiber morphism of smooth projective varieties, reduced simple-normal-crossing boundaries $E,D$,…

Claimed by OpenAI. The source concerns compact irreducible holomorphic symplectic Kahler manifolds, without a projectivity assumption, and line bundles with nonzero nef first Chern…

Claimed by OpenAI. Theorem 1.1 claims a counterexample to the unrestricted nearby Lagrangian conjecture: for $Q=S^9\times S^{N-1}$ with some sufficiently large even $N$, a closed e…

Claimed by OpenAI. Claims every entire $C^2$ solution of $\Delta u=u^3-u$ on $\mathbb{R}^8$, valued in $(-1,1)$ with a strictly positive directional derivative, is a one-dimensiona…

Claimed by OpenAI. Claims distinct uniformly positive bounded measurable scalar conductivities on a three-dimensional ball with identical full Dirichlet-to-Neumann operators, both…

Claimed by OpenAI. Claims a smooth compactly supported identical marginal in three-space whose three-marginal Coulomb minimum is unattainable by measure-preserving Borel maps altho…