Correspondences in enumerative geometry: Hilbert schemes, K3 surfaces and modular forms

Project Information

K3Mod

Grant agreement ID: 101041491

DOI

10.3030/101041491

EC signature date 2 September 2022

Start date 1 February 2023

End date 31 January 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 429 135,50

EU contribution

€ 1 429 135,00

Coordinated by

RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

Research Data management plan

Publications

Other (8)

Stable pairs on local curves and Bethe roots

Author(s): Maximilian Schimpf
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2409.09508

Towards refined curve counting on the Enriques surface I: K-theoretic refinements

Author(s): Georg Oberdieck
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2407.21318

On the descendent Gromov-Witten theory of a K3 surface

Author(s): Oberdieck, Georg
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.09074

Towards refined curve counting on the Enriques surface II: Motivic refinements

Author(s): Georg Oberdieck
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2408.02616

Quantum cohomology of the Hilbert scheme of points on an elliptic surface

Author(s): Oberdieck, Georg; Pixton, Aaron
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2312.13188

Curve counting on the Enriques surface and the Klemm-Mariño formula

Author(s): Oberdieck, Georg
Published in: JEMS (to appear), 2023
Publisher: JEMS
DOI: 10.48550/ARXIV.2305.11115

Pandharipande-Thomas theory of elliptic threefolds, quasi-Jacobi forms and holomorphic anomaly equations

Author(s): Oberdieck, Georg; Schimpf, Maximilian
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.09652

Refined curve counting with descendants and quantum mirrors

Author(s): Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arXiv.2502.17236

Peer reviewed articles (4)

On the descendent Gromov–Witten theory of a K3 surface

Author(s): Georg Oberdieck
Published in: Portugaliae Mathematica, Issue 82, 2025, ISSN 0032-5155
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/PM/2143

Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes

Author(s): Georg Oberdieck
Published in: Geometry & Topology, Issue 28, 2024, ISSN 1364-0380
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/gt.2024.28.3221

Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface

Author(s): Georg Oberdieck
Published in: Geometry & Topology, Issue 28, 2024, ISSN 1364-0380
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/gt.2024.28.3779

Curve counting on the Enriques surface and the Klemm–Mariño formula

Author(s): Georg Oberdieck
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/JEMS/1639