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Towards the Green–Griffiths–Lang conjecture via equivariant localisation

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Towards the Green–Griffiths–Lang conjecture via equivariant localisation. / Bérczi, Gergely.

In: Proceedings of the London Mathematical Society, Vol. 118, No. 5, 2019, p. 1057-1083.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Harvard

Bérczi, G 2019, 'Towards the Green–Griffiths–Lang conjecture via equivariant localisation', Proceedings of the London Mathematical Society, vol. 118, no. 5, pp. 1057-1083. https://doi.org/10.1112/plms.12197

APA

Bérczi, G. (2019). Towards the Green–Griffiths–Lang conjecture via equivariant localisation. Proceedings of the London Mathematical Society, 118(5), 1057-1083. https://doi.org/10.1112/plms.12197

CBE

Bérczi G. 2019. Towards the Green–Griffiths–Lang conjecture via equivariant localisation. Proceedings of the London Mathematical Society. 118(5):1057-1083. https://doi.org/10.1112/plms.12197

MLA

Bérczi, Gergely. "Towards the Green–Griffiths–Lang conjecture via equivariant localisation". Proceedings of the London Mathematical Society. 2019, 118(5). 1057-1083. https://doi.org/10.1112/plms.12197

Vancouver

Bérczi G. Towards the Green–Griffiths–Lang conjecture via equivariant localisation. Proceedings of the London Mathematical Society. 2019;118(5):1057-1083. doi: 10.1112/plms.12197

Author

Bérczi, Gergely. / Towards the Green–Griffiths–Lang conjecture via equivariant localisation. In: Proceedings of the London Mathematical Society. 2019 ; Vol. 118, No. 5. pp. 1057-1083.

Bibtex

@article{eced7993bb7943699758c1b90b5c99c5,
title = "Towards the Green–Griffiths–Lang conjecture via equivariant localisation",
abstract = "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.).",
keywords = "14E15 (secondary), 32Q45 (primary), 55N91",
author = "Gergely B{\'e}rczi",
year = "2019",
doi = "10.1112/plms.12197",
language = "English",
volume = "118",
pages = "1057--1083",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "5",

}

RIS

TY - JOUR

T1 - Towards the Green–Griffiths–Lang conjecture via equivariant localisation

AU - Bérczi, Gergely

PY - 2019

Y1 - 2019

N2 - 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.).

AB - 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.).

KW - 14E15 (secondary)

KW - 32Q45 (primary)

KW - 55N91

UR - http://www.scopus.com/inward/record.url?scp=85053619039&partnerID=8YFLogxK

U2 - 10.1112/plms.12197

DO - 10.1112/plms.12197

M3 - Journal article

AN - SCOPUS:85053619039

VL - 118

SP - 1057

EP - 1083

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 5

ER -