Extension of quasiplurisubharmonic functions
By Dan Coman
Let $(V,\omega)$ be a compact Kähler manifold and $X$ be an analytic subvariety of $V$. We address the problem of extending $\omega$-plurisubharmonic functions on $X$ to $\omega$-plurisubharmonic functions on $V$. Our results are joint with Vincent Guedj and Ahmed Zeriahi.