Pure and Applied Mathematics Quarterly

Volume 18 (2022)

Number 4

Special issue celebrating the work of Herb Clemens

Guest Editor: Ron Donagi

Moishezon morphisms

Pages: 1661 – 1687

DOI: https://dx.doi.org/10.4310/PAMQ.2022.v18.n4.a11


János Kollár (Department of Mathematics, Princeton University, Princeton, New Jersey, U.S.A.)


We try to understand which morphisms of complex analytic spaces come from algebraic geometry. We start with a series of conjectures, and then give some partial solutions.

Partial financial support was provided by the NSF under grant number DMS-1901855.

Accepted 30 June 2021

Published 25 October 2022