Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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

Panel:

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

Host institution :

Wydział Matematyki i Informatyki Uniwersytetu Jagiellońskiego

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 (15)
  • Articles in post-conference publications (1)
  1. 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
  2. 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
  3. Lipschitz stratifications in o-minimal structures
    Authors:
    Nhan Nguyen i Guillaume Valette
    Academic press:
    Annales scientifiques de l'École normale supérieure (rok: 2015, tom: 64, strony: ), Wydawca: Société Mathématique de France.
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  4. 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
  5. 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
  6. Medial axis and singularities
    Authors:
    Maciej P. Denkowski, Lev Birbrair
    Academic press:
    - (rok: 2015, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    - - link to the publication
  7. 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
  8. 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
  9. 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
  10. 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
  11. A remark on the intersections of subanalytic leaves
    Authors:
    M. Denkowski
    Academic press:
    - (rok: 2014, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. On open analytic and subanalytic mappings
    Authors:
    Maciej P. Denkowski, Jean-Jacques Loeb
    Academic press:
    - (rok: 2015, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    - - link to the publication
  13. 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
  14. A generalized Sard theorem on real closed fields
    Authors:
    A. Valette, G. Valette
    Academic press:
    Mathematische Nachrichten , Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. 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
  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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy