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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Metric theory of singularities and its applications

2011/01/B/ST1/03875

Keywords:

singularity theory semialgebraic subanalytic and analytic geometry metric invariants approximation

Descriptors:

  • ST1_4:
  • ST1_8:
  • ST1_5:

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):

dr hab. Guillaume Valette 

Number of co-investigators in the project: 4

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

Amount awarded: 244 790 PLN

Project start date (Y-m-d): 2011-12-30

Project end date (Y-m-d): 2015-03-29

Project duration:: 39 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (9 000 PLN)

Information in the final report

  • Publication in academic press/journals (18)
  • Articles in post-conference publications (1)
  1. Approximation of holomorphic maps from Runge domains to affine algebraic varieties
    Authors:
    M. Bilski, A. Parusiński
    Academic press:
    J LOND MATH SOC (rok: 2014, tom: 90 (3), strony: 807-826), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jlms/jdu047 - link to the publication
  2. Vector bundles and regulous maps
    Authors:
    M. Bilski, W. Kucharz, A. Valette i G. Valette
    Academic press:
    Matchematische Zeitschrift (rok: 2013, tom: 275, strony: 403-418), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-012-1141-6 - link to the publication
  3. Arc-quasianalytic functions
    Authors:
    E. Bierstone, P. D. Milman, G. Valette
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2015, tom: 143, strony: 3915-3925), Wydawca: Amer. Math. Soc.
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12547-6 - link to the publication
  4. Algebraic approximation of analytic subsets of C^q\times\{0\} in C^{q+1}
    Authors:
    M. Bilski
    Academic press:
    C. R. Acad. Sci. Paris (rok: 2013, tom: 351, strony: 793-796), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.011 - link to the publication
  5. Algebraic approximation of analytic subsets of C^q\times\{0\} in C^{q+1}
    Authors:
    M. Bilski
    Academic press:
    C. R. Acad. Sci. Paris (rok: 2013, tom: 351, strony: 793-796), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.011 - link to the publication
  6. On the geometry of polynomial mappings at infinity
    Authors:
    Anna Valette, Guillaume Valette
    Academic press:
    Annales de l'Institut Fourier (rok: 2014, tom: 64 (5), strony: 2147-2163), Wydawca: -
    Status:
    Published
    DOI:
    10.5802/aif.2907 - link to the publication
  7. On a singular variety associated to a polynomial mapping
    Authors:
    Nguyen Thi Bich Thuy, A. Valette i G. Valette
    Academic press:
    Journal of singularities (rok: 2013, tom: 7, strony: 190-204), Wydawca: Worldwide Center of Mathematics LLC
    Status:
    Published
    DOI:
    10.5427/jsing.2013.7j - link to the publication
  8. Arc-quasianalytic functions
    Authors:
    E. Bierstone, P. D. Milman, G. Valette
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2015, tom: 143, strony: 3915-3925), Wydawca: Amer. Math. Soc.
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12547-6 - link to the publication
  9. Approximation of holomorphic maps from Runge domains to affine algebraic varieties
    Authors:
    M. Bilski, A. Parusiński
    Academic press:
    J LOND MATH SOC (rok: 2014, tom: 90 (3), strony: 807-826), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jlms/jdu047 - link to the publication
  10. A Lefschetz duality for intersection homology
    Authors:
    G. Valette
    Academic press:
    Geometriae Dedicata (rok: 2014, tom: 169, strony: 283-299), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-013-9856-z - link to the publication
  11. Higher order approximation of complex analytic sets by algebraic sets
    Authors:
    M. Bilski
    Academic press:
    Bulletin des Sciences Mathématiques (rok: 2015, tom: 139 (2), strony: 198-213), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2014.08.009 - link to the publication
  12. Higher order approximation of complex analytic sets by algebraic sets
    Authors:
    M. Bilski
    Academic press:
    Bulletin des Sciences Mathématiques (rok: 2015, tom: 139 (2), strony: 198-213), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2014.08.009 - link to the publication
  13. On the geometry of polynomial mappings at infinity
    Authors:
    Anna Valette, Guillaume Valette
    Academic press:
    Annales de l'Institut Fourier (rok: 2014, tom: 64 (5), strony: 2147-2163), Wydawca: -
    Status:
    Published
    DOI:
    10.5802/aif.2907 - link to the publication
  14. Vector bundles and regulous maps
    Authors:
    M. Bilski, W. Kucharz, A. Valette i G. Valette
    Academic press:
    Matchematische Zeitschrift (rok: 2013, tom: 275, strony: 403-418), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-012-1141-6 - link to the publication
  15. On Nash approximation of complex analytic sets in Runge domains
    Authors:
    J. Adamus, M. Bilski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 423, strony: 229–242), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.09.070 - link to the publication
  16. L∞ cohomology is intersection cohomology
    Authors:
    G. Valette
    Academic press:
    Advances in Mathematics (rok: 2012, tom: 231, strony: 1818-1842), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2012.07.020 - link to the publication
  17. Lipschitz stratifications in o-minimal structures
    Authors:
    Nhan Nguyen i Guillaume Valette
    Status:
    Accepted for publication
  18. Lipschitz stratifications in o-minimal structures
    Authors:
    Nhan Nguyen i Guillaume Valette
    Status:
    Accepted for publication
  1. On bi-Lipschitz stability of families of functons
    Authors:
    G. Valette
    Conference:
    Singularities in Geometry and Applications (rok: 2012, ), Wydawca: Journal of Singularities, Worldwide Center of Mathematics, LLC
    Data:
    konferencja 5 – 21 maja 2011
    Status:
    Published
    DOI:
    link to the publication

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