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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Singularities and invariants in symplectic geomery and affine geometry

2013/11/B/ST1/03080

Keywords:

singularities symplectic geometry affine geometry singular lagrangian variety algebraic restriction

Descriptors:

  • ST1_5: Geometry
  • ST1_8: Analysis

Panel:

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

Host institution :

Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Wojciech Domitrz 

Number of co-investigators in the project: 3

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 273 250 PLN

Project start date (Y-m-d): 2014-07-08

Project end date (Y-m-d): 2018-01-07

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. notebook (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (16)
  • Articles in post-conference publications (1)
  1. On local invariants of singular symplectic forms
    Authors:
    Wojciech Domitrz
    Academic press:
    Journal of Geometry and Physics (rok: 2017, tom: 114, strony: 607-620), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2016.12.022 - link to the publication
  2. Singular Points of the Wigner Caustic and Affine Equidistants of Planar Curves
    Authors:
    Wojciech Domitrz, Michał Zwierzyński
    Academic press:
    Bulletin of the Brazilian Mathematical Society, New Series , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00574-019-00141-4 - link to the publication
  3. The Constant Width Measure Set, the Spherical Measure Set and isoperimetric equalities for planar ovals
    Authors:
    Michał Zwierzyński
    Academic press:
    Communications in Analysis and Geometry , Wydawca: International Press of Boston, Inc.
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. The geometry of the Wigner caustic and affine equidistants of planar curves
    Authors:
    Wojciech Domitrz, Michał Zwierzyński
    Academic press:
    Rocky Mountain Journal of Mathematics , Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Bifurcation sets of families of reflections on surfaces in $R^3$
    Authors:
    P. J. Giblin, S. Janeczko
    Academic press:
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics (rok: 2017, tom: 147 no. 2, strony: 337-352), Wydawca: The Royal Society of Edinburgh
    Status:
    Published
    DOI:
    10.1017/S0308210516000184 - link to the publication
  6. Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space
    Authors:
    W. Domitrz, S. Janeczko, P. de M. Rios, M. A. S. Ruas
    Academic press:
    Bulletin of the Brazilian Mathematical Society, New Series (rok: 2016, tom: 47, strony: 1155–1179), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00574-016-0208-0 - link to the publication
  7. The improved isoperimetric inequality and the Wigner caustic of planar ovals
    Authors:
    Michał Zwierzyński
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 442, strony: 726-739), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.05.016 - link to the publication
  8. Even Dimensional Improper Affine Spheres
    Authors:
    Marcos Craizer, Wojciech Domitrz, Pedro de M. Rios
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 421, strony: 1803–1826), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.08.028 - link to the publication
  9. Residual algebraic restrictions of differential forms
    Authors:
    G. Ishikawa, S. Janeczko
    Academic press:
    Methods and Applications of Analysis (rok: 2017, tom: 24 no. 1, strony: 045–062), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/MAA.2017.v24.n1.a4 - link to the publication
  10. Symplectic Singularities and Solvable Hamiltonian Mappings
    Authors:
    Takuo Fukuda, Stanisław Janeczko
    Academic press:
    Demonstratio Mathematica (rok: 2015, tom: 48(2), strony: 118-146), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/dema-2015-0014 - link to the publication
  11. The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications
    Authors:
    Wojciech Domitrz, Michał Zwierzyński
    Academic press:
    The Journal of Geometric Analysis , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s12220-019-00197-0 - link to the publication
  12. Classification of transversal Lagrangian stars
    Authors:
    F. Assunção de Brito Lira, W. Domitrz, R. Wik Atique
    Academic press:
    Topology and its Applications (rok: 2018, tom: 235, strony: 352-367), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.11.022 - link to the publication
  13. On the Poisson algebra of a singular map
    Authors:
    T. Fukuda, S. Janeczko
    Academic press:
    Journal of Geometry and Physics (rok: 2014, tom: 86, strony: 194-202), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2014.07.037 - link to the publication
  14. Symplectic singularity of curves with semigroups (4,5,6,7), (4,5,6) and (4,5,7)
    Authors:
    F. Assunção de Brito Lira, W. Domitrz, R. Wik Atique
    Academic press:
    Bulletin of the Brazilian Mathematical Society, New Series (rok: 2019, tom: 50, strony: 347-371), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00574-018-0102-z - link to the publication
  15. Isoperimetric equalities for rosettes
    Authors:
    Michał Zwierzyński
    Academic press:
    International Journal of Mathematics , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  16. Singular Improper Affine Spheres from a given Lagrangian Submanifold
    Authors:
    Marcos Craizer, Wojciech Domitrz and Pedro de M. Rios
    Academic press:
    Advanced in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Hamiltonian systems on submanifolds
    Authors:
    T. Fukuda, S. Janeczko
    Conference:
    Singularities in Generic Geometry (rok: 2018, ), Wydawca: Math. Soc. Japan
    Data:
    konferencja 2015.06.03-10
    Status:
    Published

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