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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Asymptotic invariants of graded homogeneous sequence of the ideals.

2016/21/N/ST1/01491

Keywords:

asymptotic invariants graded ideals projective spaces generic initial ideals

Descriptors:

  • ST1_2: Algebra
  • ST1_4: Algebraic and complex geometry

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, Wydział Matematyczno-Fizyczno-Techniczny

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Grzegorz Malara 

Number of co-investigators in the project: 2

Call: PRELUDIUM 11 - announced on 2016-03-15

Amount awarded: 63 800 PLN

Project start date (Y-m-d): 2017-01-20

Project end date (Y-m-d): 2019-09-19

Project duration:: 32 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. Komputer przenośny (laptop) z oprogramowaniem i akcesoriami (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (1)
  1. Asymptotic invariants of generic initial ideals
    Authors:
    Grzegorz Malara
    Academic press:
    Mathematische Nachrichten , Wydawca: Wiley-VCH GmbH, Weinheim
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Fermat-type configurations of lines in and the containment problem
    Authors:
    Grzegorz Malara, Justyna Szpond
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2018, tom: 222, strony: 2323-2329), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2017.09.015 - link to the publication
  3. Quartic unexpected curves and surfaces
    Authors:
    Thomas Bauer, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Manuscripta Mathematica (rok: 2020, tom: 161, strony: 283-292), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00229-018-1091-3 - link to the publication
  4. New phenomena in the containment problem for simplicial arrangements
    Authors:
    Marek Janasz, Magdalena Lampa-Baczyńska, Grzegorz Malara
    Academic press:
    Journal of Commutative Algebra , Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. A matrixwise approach to unexpected hypersurfaces
    Authors:
    Marcin Dumnicki, Lucja Farnik, Brian Harbourne, Grzegorz Malara, Justyna Szpond, Halszka Tutaj-Gasinska
    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
  6. On a conjecture of Demailly and new bounds onWaldschmidt constants in P^N
    Authors:
    Grzegorz Malara, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Number Theory (rok: 2018, tom: 189, strony: 211-219), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2017.12.004 - link to the publication
  7. The containment problem and a rational simplicial arrangement
    Authors:
    Grzegorz Malara, Justyna Szpond
    Academic press:
    Electronic Research Announcements (rok: 2017, tom: 24, strony: 123-128), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/era.2017.24.013 - link to the publication
  8. Unexpected curves arising from special line arrangements
    Authors:
    Michela Di Marca, Grzegorz Malara, Alessandro Oneto
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2020, tom: 51, strony: 171-194), Wydawca: Springer US
    Status:
    Published
    DOI:
    10.1007/s10801-019-00871-0 - link to the publication
  1. On Codimension Two Flats in Fermat-Type Arrangements
    Authors:
    Grzegorz Malara, Justyna Szpond
    Conference:
    Multigraded Algebra and Applications (rok: 2018, ), Wydawca: Springer, Cham
    Data:
    konferencja 17-24 Sierpień 2016
    Status:
    Published

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