2 papers
math.DG2026
Semistability and asymptotics of geometric flows
Shing Tak Lam
We prove that the asymptotics of the Hermitian-Yang-Mills flow on a slope semistable holomorphic vector bundle over a compact Kähler manifold are determined algebro-geometrically,…
math.DG2025
Canonical metrics on families of vector bundles
Shing Tak Lam
We introduce a geometric partial differential equation for families of holomorphic vector bundles, generalising the theory of Hermite--Einstein metrics. We consider families of hol…