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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New trends in real algebraic geometry

2014/15/B/ST1/00046

Keywords:

Real algebraic variety continuous rational map stratification stratified-regular map stratified-algebraic vector bundle

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_6: Topology

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 8 - announced on 2014-09-15

Amount awarded: 137 800 PLN

Project start date (Y-m-d): 2015-07-08

Project end date (Y-m-d): 2018-12-07

Project duration:: 41 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (12)
  • Articles in post-conference publications (3)
  • Book publications / chapters in book publications (2)
  1. Approximation of maps into spheres by regulous maps
    Authors:
    Maciej Zieliński
    Academic press:
    Archiv der Mathematik (Basel) (rok: 2018, tom: 110, strony: 29-34), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00013-017-1092-6 - link to the publication
  2. Checking real analyticity on surfaces
    Authors:
    Jacek Bochnak, Janos Kollar and Wojciech Kucharz
    Academic press:
    Journal de Mathematiques Pures et Appliquees (rok: 2020, tom: 133, strony: 167-171), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2019.05.008 - link to the publication
  3. Nash regulous functions
    Authors:
    Wojciech Kucharz
    Academic press:
    Annales Polonici Mathematici (rok: 2017, tom: 119, strony: 275-289), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/ap170601-21-8 - link to the publication
  4. Linear equations on real algebraic surfaces
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Academic press:
    Manuscripta Mathematica (rok: 2017, tom: 154, strony: 285-296), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00229-017-0925-8 - link to the publication
  5. Sharpening a theorem of Forelli
    Authors:
    Jacek Bochnak and Wojciech Kucharz
    Academic press:
    Annales Polonici Mathematici (rok: 2019, tom: online, strony: 197-201), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/ap180616-3-9 - link to the publication
  6. Some conjectures on continuous rational maps into spheres
    Authors:
    Wojciech Kucharz, Krzysztof Kurdyka
    Academic press:
    Topology and its Applications (rok: 2016, tom: 208, strony: 17-29), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2016.05.002 - link to the publication
  7. Criteria for algebraicity of analytic functions
    Authors:
    Jacek Bochnak, Janusz Gwoździewicz, Wojciech Kucharz
    Academic press:
    International Mathematical Research Notices (rok: 2019, tom: online, strony: 17 pages), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnz222 - link to the publication
  8. Regulous vector bundles
    Authors:
    Wojciech Kucharz and Maciej Zieliński
    Academic press:
    Mathematische Nachrichten (rok: 2018, tom: 291, strony: 2252-2277), Wydawca: Wiley VCH
    Status:
    Published
    DOI:
    10.1002/mana.201700442 - link to the publication
  9. Global variants of Hartogs' theorem
    Authors:
    Jacek Bochnak and Wojciech Kucharz
    Academic press:
    Archiv der Mathematik (Basel) (rok: 2019, tom: 113, strony: 281-290), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-019-01340-7 - link to the publication
  10. Piecewise-regular maps
    Authors:
    Wojciech Kucharz
    Academic press:
    Mathematische Annalen (rok: 2018, tom: 372, strony: 1545-1574), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-017-1607-2 - link to the publication
  11. Curve-rational functions
    Authors:
    Janos Kollar, Wojciech Kucharz, Krzysztof Kurdyka
    Academic press:
    Mathematische Annalen (rok: 2018, tom: 370, strony: 39-69), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-016-1513-z - link to the publication
  12. Stratified-algebraic vector bundles of small rank
    Authors:
    Wojciech Kucharz
    Academic press:
    Archiv der Mathematik (Basel) (rok: 2016, tom: 107, strony: 239-249), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00013-016-0946-7 - link to the publication
  1. On continuous rational functions
    Authors:
    Wojciech Kucharz
    Conference:
    The 5th Franco-Japanese-Vietnamese Symposium on Singularities (rok: 2020, ), Wydawca: World Scientific Publishing
    Data:
    konferencja 2017
    Status:
    Accepted for publication
    DOI:
    link to the publication
  2. On linear equations with polynomial coefficients
    Authors:
    Wojciech Kucharz
    Conference:
    AlaNT5, Będlewo (rok: 2020, ), Wydawca: Banach Center Publications
    Data:
    konferencja 2018
    Status:
    Accepted for publication
    DOI:
    link to the publication
  3. Comparison of stratified-algebraic and topological K-theory
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Conference:
    15th International Workshop on Real and Complex Singularities (rok: 2019, ), Wydawca: ---
    Data:
    konferencja 2018
    Status:
    Submitted
    DOI:
    link to the publication
  1. Rationality of semialgebraic functions
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Book:
    Analytic and Algebraic Geometry 2 (rok: 2017, tom: ---, strony: 85-96), Wydawca: Łódź University Press
    Status:
    Published
  2. From continuous rational to regulous functions
    Authors:
    Wojciech Kucharz and Krzysztof Kurdyka
    Book:
    Proceedings of the International Congress of Mathematicians 2018, Rio de Janeiro, Brazil (rok: 2018, tom: Vol. 2, strony: 737-766), Wydawca: World Scientific Publishing Co Pte Ltd, Singapore
    Status:
    Published

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