Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Cycles on real algebraic sets

2011/01/B/ST1/01289

Keywords:

Real algebraic sets cohomology classes algebraic vector bundles regular maps algebraic models of smooth manifolds

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

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: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 124 270 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  • Articles in post-conference publications (1)
  1. Approximation by continuous rational maps into spheres
    Authors:
    Wojciech Kucharz
    Academic press:
    Journal of the European Mathematical Society (JEMS) (rok: 2014, tom: 16, strony: 1555-1569), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JEMS/469 - link to the publication
  2. Comlexification and homotopy
    Authors:
    Wojciech Kucharz, Łukasz Maciejewski
    Academic press:
    Homology, Homotopy and Applications (rok: 2014, tom: 16, strony: 159-165), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/HHA.2014.v16.n1.a9 - link to the publication
  3. Continuous rational maps into the unit 2-sphere
    Authors:
    Wojciech Kucharz
    Academic press:
    Archiv der Mathematik (Basel) (rok: 2014, tom: 102, strony: 257-261), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-014-0627-3 - link to the publication
  4. Regular maps into real Fermat varieties
    Authors:
    Wojciech Kucharz
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2013, tom: 45, strony: 1086-1090), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms/bdt042 - link to the publication
  5. Regular versus continuous rational maps
    Authors:
    Wojciech Kucharz
    Academic press:
    Topology and its Applications (rok: 2013, tom: 160, strony: 1375-1378), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.05.010 - link to the publication
  6. Vector bundles and regulous maps
    Authors:
    Marcin Bilski, Wojciech Kucharz, Anna Valette, Guillaume Valette
    Academic press:
    Mathematische Zeitschrift (rok: 2013, tom: 275, strony: 403-418), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-012-1141-6 - link to the publication
  7. Complex cycles as obstructions on real algebraic varieties
    Authors:
    Wojciech Kucharz
    Academic press:
    Glasgow Mathematical Journal (rok: 2015, tom: 57, strony: 343-347), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089514000329 - link to the publication
  8. Continuous rational maps into spheres
    Authors:
    Wojciech Kucharz
    Academic press:
    ... (rok: 2015, tom: ..., strony: ...), Wydawca: ...
    Status:
    Submitted
    DOI:
    ... - link to the publication
  9. Stratified-algebraic vector bundles
    Authors:
    Wojciech Kucharz, Krzysztof Kurdyka
    Academic press:
    ... (rok: 2015, tom: ..., strony: ...), Wydawca: ...
    Status:
    Submitted
    DOI:
    ... - link to the publication
  1. Some conjectures on stratified-algebraic vector bundles
    Authors:
    Wojciech Kucharz
    Conference:
    Singularities in Geometry and Applications III (rok: 2015, ), Wydawca: Worldwide Center of Mathematics
    Data:
    konferencja 2013
    Status:
    Published

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