Pure and Applied Mathematics Quarterly

Volume 17 (2021)

Number 3

Special Issue in Honor of Duong H. Phong

Edited by Tristan Collins, Valentino Tosatti, and Ben Weinkove

Morse-type integrals on non-Kähler manifolds

Pages: 991 – 1004

DOI: https://dx.doi.org/10.4310/PAMQ.2021.v17.n3.a6

Authors

Sławomir Kołodziej (Faculty of Mathematics and Computer Science, Jagiellonian University, 30-348 Kraków, Poland)

Valentino Tosatti (Department of Mathematics and Statistics, McGill University, Montréal, Québec, Canada; and Department of Mathematics, Northwestern University, Evanston Illinois, U.S.A.)

Abstract

We pose a conjecture about Morse-type integrals in nef $(1,1)$ classes on compact Hermitian manifolds, and we show that it holds for semipositive classes, or when the manifold admits certain special Hermitian metrics.

The full text of this article is unavailable through your IP address: 172.17.0.1

The first-named author was partially supported by NCN grant 2017/27/B/ST1/01145.

The second-named author was partially supported by NSF grants DMS-1610278 and DMS-1903147.

Received 3 May 2019

Accepted 23 June 2019

Published 14 June 2021