Towards the Green–Griffiths–Lang conjecture via equivariant localisation

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Green, Griffiths and Lang conjectured that for every complex projective algebraic variety (Formula presented.) of general type there exists a proper algebraic subvariety of (Formula presented.) containing all nonconstant entire holomorphic curves (Formula presented.). Using equivariant localisation we develop an iterated residue formula for cohomological pairings on the Demailly–Semple jet bundle. We apply this formula and a strategy of Demailly to give affirmative answer to the Green–Griffiths–Lang conjecture for generic projective hypersurfaces (Formula presented.) of degree (Formula presented.).

OriginalsprogEngelsk
TidsskriftProceedings of the London Mathematical Society
Vol/bind118
Nummer5
Sider (fra-til)1057-1083
Antal sider27
ISSN0024-6115
DOI
StatusUdgivet - 2019

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