Singularity theory and affine algebraic geometry

2015/17/B/ST1/02637

Keywords

Descriptors

  • ST1_4: Geometria algebraiczna i zespolona
  • ST1_6: Topologia

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 Polskiej Akademii Nauk

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Zbigniew Tadeusz 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
2016-01-21
Project end date
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. Cost: 8 000 PLN

Information in the final report

Publication in academic press/journals (8)

  1. 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 (year: 2016, volume: II, pages: 12420), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s12215-016-0285-3 – link to the publication
  2. On finite regular and holomorphic mappings

    Authors:
    Zbigniew Jelonek
    Academic press:
    Advances in Mathematics (year: 2017, volume: 306, pages: 1377–1391), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.11.006 – link to the publication
  3. On quadratic polynomial mappings of the plane

    Authors:
    Michał Farnik, Zbigniew Jelonek
    Academic press:
    Linear Algebra and its Application (year: 2017, volume: 529, pages: 441-456), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2017.05.020 – link to the publication
  4. Whitney theorem for complex polynomial mappings

    Authors:
    M. Farnik, Z.Jelonek, M.A.S. Ruas
    Academic press:
    Mathematische Zeitschrift (year: 2020, volume: 295, pages: 1035-1065), Publisher: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00209-019-02370-1 – link to the publication
  5. 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 (year: 2021, volume: 65, pages: 279-304), Publisher: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s00454-019-00087-w – link to the publication
  6. Finite A-determinacy of generic homogeneous map germs in C^3

    Authors:
    M. Farnik, Z. Jelonek, M.Ruas
    Academic press:
    J. Math. Soc. Japan (year: 2021, volume: 73, pages: 211-220), Publisher: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/83208320 – link to the publication
  7. 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 (year: 2018, volume: 554, pages: 249-274), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2018.05.018 – link to the publication
  8. Sufficient conditions for local equivalence of mappings

    Authors:
    Piotr Migus
    Academic press:
    Archiv der Mathematik (year: 2019, volume: 112, pages: 395-405), Publisher: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s00013-018-1289-3 – link to the publication

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Graphic design and implementation: Jakub Piotrowski