Almost kähler forms on rational 4-manifolds

Tian Jun Li; Weiyi Zhang

doi:10.1353/ajm.2015.0037

Almost kähler forms on rational 4-manifolds

Tian Jun Li, Weiyi Zhang

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We study Nakai-Moishezon type question and Donaldson’s “tamed to compatible” question for almost complex structures on rational four manifolds. By extending Taubes’ subvarieties-currentform technique to J-nef genus 0 classes, we give affirmative answers of these two questions for all tamed almost complex structures on S² bundles over S² as well as for many geometrically interesting tamed almost complex structures on other rational four manifolds, including the del Pezzo ones.

Original language	English (US)
Pages (from-to)	1209-1256
Number of pages	48
Journal	American Journal of Mathematics
Volume	137
Issue number	5
DOIs	https://doi.org/10.1353/ajm.2015.0037
State	Published - Oct 2015

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© 2015 by Johns Hopkins University Press.

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Almost kähler forms on rational 4-manifolds

Abstract

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