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Gergely Bérczi
Towards the Green–Griffiths–Lang conjecture via equivariant localisation
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Links
- https://arxiv.org/pdf/1509.03406.pdf
Accepted manuscript
DOI
- https://doi.org/10.1112/plms.12197
Final published version
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.).
| Original language | English |
|---|---|
| Journal | Proceedings of the London Mathematical Society |
| Volume | 118 |
| Issue | 5 |
| Pages (from-to) | 1057-1083 |
| Number of pages | 27 |
| ISSN | 0024-6115 |
| DOIs | |
| Publication status | Published - 2019 |
- 14E15 (secondary), 32Q45 (primary), 55N91
Research areas
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