The Hodge numbers of O'Grady 10 via Ngô strings

Mark Andrea A. de Cataldo; Antonio Rapagnetta; Giulia Saccà

doi:10.1016/j.matpur.2021.10.004

The Hodge numbers of O'Grady 10 via Ngô strings

Mark Andrea A. de Cataldo
, Antonio Rapagnetta
, Giulia Saccà

Mathematics

University of Rome Tor Vergata
Columbia University

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

21 Scopus citations

Abstract

We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of Nĝo strings, which we introduce via a refinement of the Ngô Support Theorem.

Original language	English
Pages (from-to)	125-178
Number of pages	54
Journal	Journal des Mathematiques Pures et Appliquees
Volume	156
DOIs	https://doi.org/10.1016/j.matpur.2021.10.004
State	Published - Dec 2021

Keywords

Hodge numbers
Hyper-Kähler
Ngô Support Theorem
O'Grady's tenfold

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10.1016/j.matpur.2021.10.004

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@article{3f34a713384b40a498b69813a9525d7d,

title = "The Hodge numbers of O'Grady 10 via Ng{\^o} strings",

abstract = "We determine the Hodge numbers of the hyper-K{\"a}hler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of Nĝo strings, which we introduce via a refinement of the Ng{\^o} Support Theorem.",

keywords = "Hodge numbers, Hyper-K{\"a}hler, Ng{\^o} Support Theorem, O'Grady's tenfold",

author = "\{de Cataldo\}, \{Mark Andrea A.\} and Antonio Rapagnetta and Giulia Sacc{\`a}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Masson SAS",

year = "2021",

month = dec,

doi = "10.1016/j.matpur.2021.10.004",

language = "English",

volume = "156",

pages = "125--178",

journal = "Journal des Mathematiques Pures et Appliquees",

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TY - JOUR

T1 - The Hodge numbers of O'Grady 10 via Ngô strings

AU - de Cataldo, Mark Andrea A.

AU - Rapagnetta, Antonio

AU - Saccà, Giulia

PY - 2021/12

Y1 - 2021/12

N2 - We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of Nĝo strings, which we introduce via a refinement of the Ngô Support Theorem.

AB - We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of Nĝo strings, which we introduce via a refinement of the Ngô Support Theorem.

KW - Hodge numbers

KW - Hyper-Kähler

KW - Ngô Support Theorem

KW - O'Grady's tenfold

UR - https://www.scopus.com/pages/publications/85118275126

U2 - 10.1016/j.matpur.2021.10.004

DO - 10.1016/j.matpur.2021.10.004

M3 - Article

AN - SCOPUS:85118275126

SN - 0021-7824

VL - 156

SP - 125

EP - 178

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

The Hodge numbers of O'Grady 10 via Ngô strings

Abstract

Keywords

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