2 papers
math.DG2024
The weighted Hermite--Einstein equation
Michael Hallam, Abdellah Lahdili
We introduce a new weighted version of the Hermite--Einstein equation, along with notions of weighted slope (semi/poly)stability, and prove that a vector bundle admits a weighted H…
math.DG2023
Stability of weighted extremal manifolds through blowups
Michael Hallam
In a previous paper, we showed that the blowup of a weighted extremal Kähler manifold at a relatively stable fixed point admits a weighted extremal metric. Using this result, we pr…