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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Geometric and analytic properties of Okounkov bodies

2014/15/N/ST1/02102

Keywords:

projective varieties Okounkov bodies Minkowski decompositions Zariski decompositions Okounkov functions Seshadri constants del Pezzo surfaces Hirzebruch surfaces blow-ups.

Descriptors:

  • ST1_2: Algebra
  • ST1_4: Algebraic and complex geometry
  • ST1_5: 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):

Piotr Pokora 

Number of co-investigators in the project: 2

Call: PRELUDIUM 8 - announced on 2014-09-15

Amount awarded: 58 450 PLN

Project start date (Y-m-d): 2015-07-08

Project end date (Y-m-d): 2017-07-07

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop z sytemem operacyjnym typu Windows wraz z podstawowymi akcesoriami i oprogramowaniem matematycznym (3 850 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  • Articles in post-conference publications (1)
  1. Harbourne constants and conic configurations on the projective plane
    Authors:
    Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Mathematische Nachrichten (rok: 2016, tom: 289(7), strony: 888-894), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.201500253 - link to the publication
  2. Harbourne constants and arrangements of lines on smooth hypersurfaces in P^3_C
    Authors:
    Piotr Pokora
    Academic press:
    Taiwanese Journal of Mathematics (rok: 2016, tom: 20(1), strony: 25-31), Wydawca: Mathematical Society of the Republic of China (Taiwan)
    Status:
    Published
    DOI:
    10.11650/tjm.20.2016.6338 - link to the publication
  3. Hirzebruch-type inequalities and plane curve configurations
    Authors:
    Piotr Pokora
    Academic press:
    International Journal of Mathematics (rok: 2017, tom: 28(2), strony: 1750013 (11 pages)), Wydawca: World Scientific Publishing Co Pte Ltd
    Status:
    Published
    DOI:
    10.1142/S0129167X17500136 - link to the publication
  4. Numerical and enumerative results on Okounkov bodies
    Authors:
    Piotr Pokora
    Academic press:
    British Journal of Mathematics & Computer Science (rok: 2015, tom: 9(2), strony: 112-121), Wydawca: SCIENCEDOMAIN international
    Status:
    Published
    DOI:
    10.9734/BJMCS/2015/17733 - link to the publication
  5. On the local negativity of surfaces with numerically trivial canonical class
    Authors:
    Roberto Laface, Piotr Pokora
    Academic press:
    Rendiconti Lincei – Matematica e Applicazioni (rok: 2018, tom: 29(2), strony: 237-253), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/RLM/803 - link to the publication
  6. Bounded negativity, Harbourne constants and transversal arrangements of curves
    Authors:
    Piotr Pokora, Xavier Roulleau, Tomasz Szemberg
    Academic press:
    Annales de l'Institut Fourer Grenoble (rok: 2017, tom: 67(6), strony: 2719 -- 2735), Wydawca: cedram.org
    Status:
    Published
    DOI:
    10.5802/aif.3149 - link to the publication
  7. On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces
    Authors:
    Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Electronic Research Announcements in Mathematical Sciences (rok: 2015, tom: 22, strony: 103-108), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2015.22.103 - link to the publication
  8. On line and pseudoline configurations and ball-quotients
    Authors:
    Juergen Bokowski, Piotr Pokora
    Academic press:
    Ars Mathematica Contemporanea (rok: 2017, tom: 13(2), strony: 409 -- 416), Wydawca: University of Primorska in collaboration with the Society of Mathematicians, Physicists and Astronomers of Slovenia and the Institute of Mathematics, Physics and Mechanics
    Status:
    Published
    DOI:
    brak - link to the publication
  9. LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES
    Authors:
    Roberto Laface, Piotr Pokora
    Academic press:
    Glasgow Mathematical Journal (rok: 2019, tom: -, strony: -), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/S0017089518000575 - link to the publication
  10. On the Sylvester-Gallai and the orchard problem for pseudoline arrangements
    Authors:
    Juergen Bokowski, Piotr Pokora
    Academic press:
    Periodica Mathematica Hungarica (rok: 2018, tom: 77(2), strony: 164 - 174), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10998-017-0224-x - link to the publication
  11. The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities
    Authors:
    Piotr Pokora
    Academic press:
    Electronic Research Announcements in Mathematical Sciences (ERA-MS) (rok: 2017, tom: 24, strony: 21-27), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2017.24.003 - link to the publication
  1. Curve configurations in the projective plane and their characteristic numbers
    Authors:
    Adam Czapliński, Piotr Pokora
    Conference:
    miniPAGES - Polish Algebraic Geometry mini-Semester (rok: 2018, ), Wydawca: Banach Center Publications
    Data:
    konferencja 18.04.2016 - 18.06.2016
    Status:
    Published
    DOI:
    link to the publication

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