arXiv subjects

Songtao Kenneth Ma

Publications and source records attributed to Songtao Kenneth Ma.

2 recordsLinked to original sources

arXiv2026

A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds

Let $X$ be a Gushel--Mukai threefold and let $\operatorname{Ku}(X)$ be its Kuznetsov component. We show that the Bridgeland moduli spaces of semistable objects in $\operatorname{Ku}(X)$ are normal. Moreover, under certain numerical conditions, if the numerical class is primitive and $X$ is general, we prove that the corresponding Bridgeland moduli space is integral.

math.AG↗

arXiv2023

Stability manifolds of Kuznetsov components of prime Fano threefolds

Let $X$ be a cubic threefold, quartic double solid or Gushel--Mukai threefold, and $\mathcal{K}u(X)\subset \mathrm{D}^b(X)$ be its Kuznetsov component. We show that a stability condition $σ$ on $\mathcal{K}u(X)$ is Serre-invariant if and only if its homological dimension is at most $2$. As a corollary, we prove that all Serre-invariant stability conditions on $\mathcal{K}u(X)$ form a contractible connected component of the stability manifold.

math.AG↗