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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Affine algebraic geometry, real and complex.

2013/09/B/ST1/04162

Keywords:

Thom first isotopy lemma bifurcation points polynomail mapping exotic affine structures asymptotic variety of a polynomial mapping effective methods in algebraic geometry

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra

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: 3

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 133 700 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-02-19

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer typu laptop. (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  1. On the group of automorphisms of a quasi-affine variety
    Authors:
    Zbigniew Jelonek
    Academic press:
    Math. Ann. (rok: 2015, tom: 362, strony: 569-578), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s00208-014-1133-4 - link to the publication
  2. Quantitative properties of the non-properness setof a polynomial map
    Authors:
    Zbigniew Jelonek, Michał Lasoń
    Academic press:
    Manuscripta Mathematica (rok: 2018, tom: 156, strony: 383-397), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00229-017-0965-0 - link to the publication
  3. Simple examples of affine manifolds with infinitely many exotic models
    Authors:
    Zbigniew Jelonek
    Academic press:
    Advances in Mathematics (rok: 2015, tom: 284, strony: 112-121), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2015.07.022 - link to the publication
  4. Bifurcation locus and branches at infinity of a polynomial f : C2 → C
    Authors:
    Z.Jelonek, M.Tibar
    Academic press:
    Math. Ann. (rok: 2015, tom: 361, strony: 1049-1054), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00208-014-1100-0 - link to the publication
  5. Detecting Asymptotic Non-regular Values by Polar Curves
    Authors:
    Zbigniew Jelonek, Michail Tibar
    Academic press:
    International Mathematics Research Notices (rok: 2017, tom: 3, strony: 809-829.), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnw048 - link to the publication
  6. ON SMOOTH HYPERSURFACES CONTAINING A GIVEN SUBVARIETY
    Authors:
    Z. Jelonek, W. Kucharz
    Academic press:
    Manuscripta Math. (rok: 2016, tom: 150, Issue 3, strony: 407–413), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00229-016-0818-2 - link to the publication
  7. On the set of fixed points of a polynomial automorphism
    Authors:
    Zbigniew Jelonek, Tomasz Lenarcik
    Academic press:
    J. Math. Soc. Japan (rok: 2016, tom: 68, strony: 1025–1031), Wydawca: The Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/06831025 - link to the publication