Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometry of rational and meromorphic functions

2018/31/B/ST1/01059

Keywords:

real algebraic and analytic geometry

Descriptors:

  • ST1_4: Algebraic and complex geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wojciech Kucharz 

Number of co-investigators in the project: 2

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 302 400 PLN

Project start date (Y-m-d): 2019-07-26

Project end date (Y-m-d): 2023-07-25

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (12)
  1. Dominating real algebraic morphisms
    Authors:
    Wojciech Kucharz
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2024, tom: 228, strony: 107467, p. 5), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2023.107467 - link to the publication
  2. On approximation of maps into real algebraic homogeneous spaces
    Authors:
    Jacek Bochnak and Wojciech Kucharz, with appendix by Janos Kollar
    Academic press:
    Journal des Mathematiques Pures et Appliquees (rok: 2022, tom: 161, strony: 111-134), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2022.03.002 - link to the publication
  3. Rational approximation of holomorphic maps
    Authors:
    Jacek Bochnak and Wojciech Kucharz
    Academic press:
    Annales de l'Institut Fourier (rok: 2022, tom: online, strony: 17 pages), Wydawca: Institut Fourier
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Algebraic surfaces determine analyticity of functions
    Authors:
    Jacek Bochnak, Wojciech Kucharz
    Academic press:
    Archiv der Mathematik (rok: 2021, tom: 118, strony: 57-63), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-021-01660-7 - link to the publication
  5. Arc-meromorphous functions
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Academic press:
    Annales Polonici Mathematici (rok: 2020, tom: online, strony: 12 pages), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/ap200517-7-8 - link to the publication
  6. Separately Nash and arc-Nash functions over real closed fields
    Authors:
    Wojciech Kucharz, Krzysztof Kurdyka and Ali El-Siblani
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2020, tom: online, strony: 16 pages), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12432 - link to the publication
  7. A Bochnak-Siciak theorem for Nash functions over real closed fields
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: online, strony: 10 pages), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2455-7 - link to the publication
  8. Analytic functions and Nash functions along curves
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Academic press:
    Selecta Mathematica-New Series (rok: 2023, tom: 29, strony: Paper No. 16, 12 pages), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00029-022-00824-9 - link to the publication
  9. Approximation by piecewise-regular maps
    Authors:
    Marcin Bilski and Wojciech Kucharz
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 375, strony: 107350, 20 pages), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107350 - link to the publication
  10. Regulous functions over real closed fields
    Authors:
    Wojciech Kucharz, Krzysztof Kurdyka
    Academic press:
    International Mathematics Research Notices (rok: 2021, tom: online, strony: 16 pages), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnab326 - link to the publication
  11. Some open questions in real algebraic geometry
    Authors:
    Wojciech Kucharz
    Academic press:
    Proyecciones, Journal of Mathematics (rok: 2022, tom: 41, strony: 437-448), Wydawca: Universidad Catolica del Norte, Antofagasta, Chile
    Status:
    Published
    DOI:
    10.22199/issn.0717-6279-5278 - link to the publication
  12. Approximation and homotopy in regulous geometry
    Authors:
    Wojciech Kucharz
    Academic press:
    Compositio Mathematica (rok: 2023, tom: --, strony: --), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    -- - link to the publication

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