Author

Yi-Peng Wang

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Preprint Sep 2026

Explicit equations of Galois subfields of Hermitian function fields with respect to decomposition groups

Let $q$ be a prime power and $\mathbb{F}_{q^2}$ be the finite fields of $q^2$ elements. The Hermitian function field $H=\mathbb{F}_{q^2}(x,y)$ defined by $y^q+y=x^{q+1}$ is a well-known maximal function field with the largest possible genus. Let $A(P_\infty)$ be the decomposition group of the infinity place $P_\infty$...

Liming Ma, Yi-Peng Wang · 0 citations

Preprint Sep 2026

Rigidity and flexibility under positive isotropic curvature

For every $n\ge4$ and $L>0$, we construct a smooth $4$-PIC metric on $S^n$ with Urysohn $1$-width at least $L$ and an embedded stable minimal disk of intrinsic inradius at least $L$. These examples disprove the proposed width and stable-disk radius bounds under a positive lower bound for isotropic curvature. On closed...

Tsz-Kiu Aaron Chow, Yi-Peng Wang · 0 citations