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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Singularity theory and affine algebraic geometry

2015/17/B/ST1/02637

Keywords:

topological equivalence of polynomial mappings singularities

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 :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Zbigniew Jelonek 

Number of co-investigators in the project: 4

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 296 000 PLN

Project start date (Y-m-d): 2016-01-21

Project end date (Y-m-d): 2020-01-20

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Laptop (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  1. On quadratic polynomial mappings of the plane
    Authors:
    Michał Farnik, Zbigniew Jelonek
    Academic press:
    Linear Algebra and its Application (rok: 2017, tom: 529, strony: 441-456), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2017.05.020 - link to the publication
  2. Sufficient conditions for local equivalence of mappings
    Authors:
    Piotr Migus
    Academic press:
    Archiv der Mathematik (rok: 2019, tom: 112, strony: 395-405), Wydawca: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s00013-018-1289-3 - link to the publication
  3. Whitney theorem for complex polynomial mappings
    Authors:
    M. Farnik, Z.Jelonek, M.A.S. Ruas
    Academic press:
    Mathematische Zeitschrift (rok: 2020, tom: 295, strony: 1035-1065), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00209-019-02370-1 - link to the publication
  4. On finite regular and holomorphic mappings
    Authors:
    Zbigniew Jelonek
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 306, strony: 1377–1391), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.11.006 - link to the publication
  5. On quadratic polynomial mappings from the plane into the n- dimensional space
    Authors:
    M. Farnik, Z. Jelonek, P.Migus
    Academic press:
    Linear Algebra and its Applications (rok: 2018, tom: 554, strony: 249-274), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2018.05.018 - link to the publication
  6. Thom isotopy theorem for non proper maps and computation of sets of stratified generalized critical values
    Authors:
    Si Tiep Dinh, Zbigniew Jelonek
    Academic press:
    Discrete and Computational Geometry (rok: 2021, tom: 65, strony: 279-304), Wydawca: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s00454-019-00087-w - link to the publication
  7. Newton–Okounkov bodies sprouting on the valuative tree
    Authors:
    Ciro Ciliberto, Michał Farnik, Alex Küronya, Victor Lozovanu, Joaquim Roé, Constantin Shramov
    Academic press:
    Rendiconti del Circolo Matematico di Palermo (rok: 2016, tom: II, strony: 12420), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12215-016-0285-3 - link to the publication
  8. Finite A-determinacy of generic homogeneous map germs in C^3
    Authors:
    M. Farnik, Z. Jelonek, M.Ruas
    Academic press:
    J. Math. Soc. Japan (rok: 2021, tom: 73, strony: 211-220), Wydawca: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/83208320 - link to the publication

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