PomeDefinition 6.19.1.574EEB86E59F Let $v$ be a quasi-plurisubharmonic function on a complex manifold $X$. The bounded growth ideal $\mathcal I_\infty (v)$ is the sheaf of holomorphic germs $f$ satisfying
\[ \log |f|^2\leq v+O(1), \quad \text{equivalently}\quad |f|^2\leq C\exp (v), \]
on a neighborhood of their base point, for some finite constant $C$.
Comments
Corrections, questions, and mathematical discussion are welcome. Sign in with GitHub to comment. Comments are public.