Bo Berndtsson

He gained in 1971 a BA degree from the University of Gothenburg in Sweden and obtained his PhD in 1977 under the direction of Tord Ganelius.

[1] Berndtsson's first results concern zero sets of holomorphic functions, and in 1981 he showed that any divisor with finite area in the unit ball in the two-dimensional complex space is defined by a bounded holomorphic function (which is not true in higher dimensions).

[citation needed] In the 1980s he also developed (together with Mats Andersson) a formalism to generate weighted integral representation formulas for holomorphic functions and solutions to the so-called dbar-equation,[2] which is the higher-dimensional generalization of the Cauchy–Riemann equations in the plane.

[citation needed] More recently Berndtsson has worked on global problems on complex manifolds.

The case of a trivial line bundle was considered in earlier work by Phillip Griffiths in connection to variations of Hodge structures and by Fujita, Kawamata and Eckart Viehweg in algebraic geometry.

Bo Berndtsson was a singer in the Swedish prog rock group Love Explosion that was founded in the late sixties.