Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Varieties and homogeneous ideals with symmetries

2018/30/M/ST1/00148

Keywords:

free resolutions symbolic powers linear series vanishing theorems unexpected hypersurfaces

Descriptors:

  • ST1_2: Algebra
  • ST1_4: Algebraic and complex geometry
  • ST1_14: Discrete mathematics and combinatorics

Panel:

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

Host institution :

Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Szemberg 

Number of co-investigators in the project: 6

Call: HARMONIA 10 - announced on 2018-06-15

Amount awarded: 259 000 PLN

Project start date (Y-m-d): 2019-03-29

Project end date (Y-m-d): 2022-03-28

Project duration:: 36 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.

Information in the final report

  • Publication in academic press/journals (8)
  • Book publications / chapters in book publications (2)
  1. Unexpected surfaces singular on lines in P^3
    Authors:
    Marcin Dumnicki, Brian Harbourne, Joaquim Roe, Halszka Tutaj-Gasińska, Tomasz Szemberg
    Academic press:
    European Journal of Mathematics (rok: 2021, tom: 7, strony: 570-590), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40879-020-00433-w - link to the publication
  2. Conic-line arrangements in the complex projective plane
    Authors:
    Piotr Pokora and Tomasz Szemberg
    Academic press:
    Discrete & Computational Geometry , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00454-022-00397-6 - link to the publication
  3. Companion varieties for root systems and Fermat arrangements
    Authors:
    Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Miró-Roig Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2022, tom: 226, strony: art numer 107055), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107055 - link to the publication
  4. A matrixwise approach to unexpected hypersurfaces
    Authors:
    Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Grzegorz Malara, Justyna Szpond, Halszka Tutaj-Gasińska
    Academic press:
    Linear Algebra and its Applications (rok: 2020, tom: 592, strony: 113-133), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2020.01.023 - link to the publication
  5. Rationality of Seshadri constants on general blow ups of P^2
    Authors:
    Łucja Farnik, Krishna Hanumanthu, Jack Huizenga, David Schmitz, Tomasz Szemberg
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2020, tom: 224, strony: artykuł numer 106345), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2020.106345 - link to the publication
  6. Unexpected curves and Togliatti-type surfaces
    Authors:
    Justyna Szpond
    Academic press:
    Mathematische Nachrichten (rok: 2020, tom: 293, strony: 158-168), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201800455 - link to the publication
  7. Unexpected properties of the Klein configuration of 60 points in P3
    Authors:
    Piotr Pokora, Tomasz Szemberg, and Justyna Szpond
    Academic press:
    Michigan Journal of Mathematics , Wydawca: the Department of Mathematics at the University of Michigan
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. ON THE NUMBER OF VERTICES OF NEWTON–OKOUNKOV POLYGONS
    Authors:
    JOAQUIM RO´E AND TOMASZ SZEMBERG
    Academic press:
    Revista Matematica Iberoamericana , Wydawca: European Mathematical Society Publishing House
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Negative curves on special rational surfaces
    Authors:
    Marcin Dumnicki, Lucja Farnik, Krishna Hanumanthu, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
    Book:
    Analytic and Algebraic Geometry (rok: 2019, tom: 3, strony: 67-78), Wydawca: Łodź University Press
    Status:
    Published
  2. Veneroni maps
    Authors:
    Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Book:
    Combinatorial Structures in Algebra and Geometry (rok: 2020, tom: Springer Proceedings in Mathem, strony: 31-42), Wydawca: Springer
    Status:
    Published

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