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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometry of singular sets and mappings

2014/13/B/ST1/00543

Keywords:

currents analytic varieties homology differential forms algebraic approximation

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_5: Geometry
  • ST1_8: Analysis

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):

dr hab. Guillaume Valette 

Number of co-investigators in the project: 5

Call: OPUS 7 - announced on 2014-03-17

Amount awarded: 341 900 PLN

Project start date (Y-m-d): 2015-01-27

Project end date (Y-m-d): 2019-11-26

Project duration:: 58 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (15)
  1. A generalized Sard theorem on real closed fields
    Authors:
    Anna Valette i Guillaume Valette
    Academic press:
    Mathematische Nachrichten (rok: 2016, tom: 289, strony: 748–755), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/mana.201400364 - link to the publication
  2. Higher order approximation of analytic sets by topologically equivalent algebraic sets
    Authors:
    Marcin Bilski, Krzysztof Kurdyka, Adam Parusinski, Guillaume Rond
    Academic press:
    Mathematische Zeitschrift (rok: 2018, tom: 288, strony: 1361-1375), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-017-1937-5 - link to the publication
  3. Efroymson's approximation Theorem for globally subanalytic and Denjoy-Carleman functions
    Authors:
    Anna Valette i Guillaume Valette
    Academic press:
    Advances in Mathematics (rok: 2019, ), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Tangent cones and C1 regularity of definable sets
    Authors:
    Krzysztof Kurdyka, Olivier Le Gal, Nhan Nguyen
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 457, strony: 978-990), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.06.031 - link to the publication
  5. Local topological algebraicity of analytic function germs
    Authors:
    Marcin Bilski, Adam Parusinski, Guillaume Rond
    Academic press:
    J. Algebraic Geometry (rok: 2017, tom: 26, strony: 177-197), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/jag/667 - link to the publication
  6. Lojasiewicz inequality at singular points
    Authors:
    Anna Valette
    Academic press:
    Proc. of AMS (rok: 2019, tom: 147, strony: 109-1117), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/14329 - link to the publication
  7. Poincare duality for L^P cohomology on subanalytic singular spaces
    Authors:
    Guillaume Valette
    Academic press:
    Mathematische Annalen (rok: 2020, tom: on-line, strony: 34), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-021-02151-4 - link to the publication
  8. Semialgebraic version of Whitney's exyension theorem
    Authors:
    Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette
    Academic press:
    Archiv der Mathematik (rok: 2019, tom: 113, strony: 59-62), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-019-01314-9 - link to the publication
  9. Whitney stratifications and the continuity of local Lipschitz–Killing curvatures
    Authors:
    Nhan Nguyen i Guillaume Valette
    Academic press:
    Annales de l'Institut Fourier (rok: 2018, tom: 68, strony: 2253-2276), Wydawca: Instutut Fourier
    Status:
    Published
    DOI:
    10.5802/aif.3208 - link to the publication
  10. Effective approximation of the solutions of algebraic equations
    Authors:
    M.Bilski, P. Scheiblechner
    Academic press:
    Journal of Symbolic Computation (rok: 2016, ), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Approximation of maps into spheres by piecewise-regular maps of class C^k
    Authors:
    Marcin Bilski
    Academic press:
    Mathematische Annalen (rok: 2019, tom: on-line, strony: 14), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-019-01835-2 - link to the publication
  12. Stokes' formula for stratified forms
    Authors:
    Guillaume Valette
    Academic press:
    Annales Polonici Mathematici (rok: 2015, tom: 114(3), strony: 197-206), Wydawca: PAN
    Status:
    Published
    DOI:
    10.4064/ap114-3-1 - link to the publication
  13. Stratified C^p-semialgebraic triviality
    Authors:
    Anna Valette
    Academic press:
    Manuscripta Mathematica (rok: 2020, tom: on-line, strony: 1--8), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00229-020-01227-w - link to the publication
  14. L^1 cohomology of bounded subanalytic manifolds
    Authors:
    Guillaume Valette
    Academic press:
    The Asian Journal of Mathematics (rok: 2018, ), Wydawca: International Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. Nash triviality and generalized critical values
    Authors:
    Anna Valette
    Academic press:
    Ann. Pol. Math (rok: 2018, tom: 121, strony: 85-90), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap170918-6-4 - link to the publication

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