Holomorphic Partial Differential Relations

Project Information

HPDR

Grant agreement ID: 101053085

DOI

10.3030/101053085

EC signature date 13 May 2022

Start date 1 January 2023

End date 31 December 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 476 375,00

EU contribution

€ 1 476 375,00

Coordinated by

UNIVERZA V LJUBLJANI
Slovenia

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Deliverables

Data Management Plan (1)

Data Management Plan

Publications

Peer reviewed articles (14)

Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces

Author(s): Leandro Arosio, Matteo Fiacchi, Lorenzo Guerini, Anders Karlsson
Published in: Advances in mathematics, Issue Vol. 439, article no. 109484 (2024), 2024, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109484

Domains without parabolic minimal submanifolds and weakly hyperbolic domains

Author(s): Franc Forstnerič
Published in: Bulletin of the London Mathematical Society, vol. 55, no. 6, pp. 2778-2792, 2023., Issue Vol. 55, iss 6 (2023), 2023, ISSN 0024-6093
Publisher: Wiley
DOI: 10.1112/BLMS.12894

Complete nonsingular holomorphic foliations on Stein manifolds

Author(s): Alarcon, Antonio; Forstneric, Franc
Published in: Mediterranean journal of mathematics, Issue Vol. 21, iss. 1 (2024), 2024, ISSN 1660-5446
Publisher: Springer
DOI: 10.48550/arxiv.2305.06030

Embedded complex curves in the affine plane

Author(s): Antonio Alarcón; Franc Forstnerič
Published in: Annali di matematica pura ed applicata, Issue Vol. 203, iss. 4 (2024), 2024, ISSN 0373-3114
Publisher: Springer
DOI: 10.1007/S10231-023-01418-8

Embedding bordered Riemann surfaces in strongly pseudoconvex domains

Author(s): Franc Forstnerič
Published in: Revue Roumaine de Mathematiques Pures et Appliquees, Issue Tom. 68, no. 1-2 (2023), 2023, ISSN 0035-3965
Publisher: Editura Academiei Române
DOI: 10.48550/arXiv.2204.06841

Recent developments on Oka manifolds

Author(s): Franc Forstnerič
Published in: Indagationes mathematicae, Issue Vol. 34, iss. 2 (2023), 2023, ISSN 0019-3577
Publisher: Elsevier
DOI: 10.1016/J.INDAG.2023.01.005

Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets

Author(s): Barbara Drinovec Drnovšek; Franc Forstnerič
Published in: The Journal of geometric analysis, Issue Vol. 33, iss. 6 (2023), 2023, ISSN 1050-6926
Publisher: Springer
DOI: 10.1007/S12220-023-01222-Z

On the Gromov hyperbolicity of the minimal metric

Author(s): Fiacchi, Matteo
Published in: Mathematische Zeitschrift, Issue Vol. 308, iss. 2, article no. 24 (2024), 2024, ISSN 0025-5874
Publisher: Springer
DOI: 10.48550/arxiv.2310.14742

Oka-1 manifolds: new examples and properties

Author(s): Franc Forstnerič, Finnur Lárusson
Published in: Mathematische Zeitschrift, Issue Vol. 309, iss. 2, article no. 26, (2025), 2024, ISSN 0025-5874
Publisher: Springer
DOI: 10.1007/S00209-024-03649-8

Worm domains are not Gromov hyperbolic

Author(s): Leandro Arosio; Gian Maria Dall’Ara; Matteo Fiacchi
Published in: The Journal of geometric analysis, Issue Vol. 33, iss. 8 (2023), 2023, ISSN 1050-6926
Publisher: Springer
DOI: 10.1007/S12220-023-01320-Y

The Leray transform: distinguished measures, symmetries and polygamma inequalities

Author(s): Luke D. Edholm, Yonatan Shelah
Published in: Journal of functional analysis, Issue Vol. 288, iss. 3, [article no.] 110746 (2025), 2025, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110746

Oka Domains in Euclidean Spaces

Author(s): Franc Forstnerič; Erlend Fornæss Wold
Published in: International mathematics research notices, Issue Vol. 2024, iss. 3 (2024), 2024, ISSN 1687-0247
Publisher: Oxford University Press
DOI: 10.1093/IMRN/RNAC347

Minimal surfaces with symmetries

Author(s): Franc Forstnerič
Published in: Proceedings of the London Mathematical Society, Issue Vol. 128, iss. 3 (2024), 2024, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/PLMS.12590

Proper holomorphic embeddings with small limit sets

Author(s): Franc Forstnerič
Published in: Proceedings of the American Mathematical Society, Series B, Issue Vol. 11 (2024), 2024, ISSN 2330-1511
Publisher: American Mathematical Society
DOI: 10.1090/BPROC/212