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Geometric and analytic properties of Okounkov bodies

2014/15/N/ST1/02102

Keywords

Descriptors

  • ST1_2: Algebra
  • ST1_4: Geometria algebraiczna i zespolona
  • ST1_5: Geometria

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

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

Piotr Stanisław 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
2015-07-08
Project end date
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. Cost: 3 850 PLN

Information in the final report

Publication in academic press/journals (11)

  1. On the Sylvester-Gallai and the orchard problem for pseudoline arrangements

    Authors:
    Juergen Bokowski, Piotr Pokora
    Academic press:
    Periodica Mathematica Hungarica (year: 2018, volume: 77(2), pages: 164 - 174), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10998-017-0224-x – link to the publication

  2. The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities

    Authors:
    Piotr Pokora
    Academic press:
    Electronic Research Announcements in Mathematical Sciences (ERA-MS) (year: 2017, volume: 24, pages: 21-27), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2017.24.003 – link to the publication

  3. Bounded negativity, Harbourne constants and transversal arrangements of curves

    Authors:
    Piotr Pokora, Xavier Roulleau, Tomasz Szemberg
    Academic press:
    Annales de l'Institut Fourer Grenoble (year: 2017, volume: 67(6), pages: 2719 -- 2735), Publisher: cedram.org
    Status:
    Published
    DOI:
    10.5802/aif.3149 – link to the publication

  4. Numerical and enumerative results on Okounkov bodies

    Authors:
    Piotr Pokora
    Academic press:
    British Journal of Mathematics & Computer Science (year: 2015, volume: 9(2), pages: 112-121), Publisher: SCIENCEDOMAIN international
    Status:
    Published
    DOI:
    10.9734/BJMCS/2015/17733 – link to the publication

  5. On line and pseudoline configurations and ball-quotients

    Authors:
    Juergen Bokowski, Piotr Pokora
    Academic press:
    Ars Mathematica Contemporanea (year: 2017, volume: 13(2), pages: 409 -- 416), Publisher: 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:
    link to the publication

  6. On the local negativity of surfaces with numerically trivial canonical class

    Authors:
    Roberto Laface, Piotr Pokora
    Academic press:
    Rendiconti Lincei – Matematica e Applicazioni (year: 2018, volume: 29(2), pages: 237-253), Publisher: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/RLM/803 – link to the publication

  7. Harbourne constants and conic configurations on the projective plane

    Authors:
    Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Mathematische Nachrichten (year: 2016, volume: 289(7), pages: 888-894), Publisher: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.201500253 – link to the publication

  8. Hirzebruch-type inequalities and plane curve configurations

    Authors:
    Piotr Pokora
    Academic press:
    International Journal of Mathematics (year: 2017, volume: 28(2), pages: 1750013 (11 pages)), Publisher: World Scientific Publishing Co Pte Ltd
    Status:
    Published
    DOI:
    10.1142/S0129167X17500136 – link to the publication

  9. 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 (year: 2015, volume: 22, pages: 103-108), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2015.22.103 – link to the publication

  10. Harbourne constants and arrangements of lines on smooth hypersurfaces in P^3_C

    Authors:
    Piotr Pokora
    Academic press:
    Taiwanese Journal of Mathematics (year: 2016, volume: 20(1), pages: 25-31), Publisher: Mathematical Society of the Republic of China (Taiwan)
    Status:
    Published
    DOI:
    10.11650/tjm.20.2016.6338 – link to the publication

  11. LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES

    Authors:
    Roberto Laface, Piotr Pokora
    Status:
    Accepted for publication

Articles in post-conference publications (1)

  1. Curve configurations in the projective plane and their characteristic numbers

    Authors:
    Adam Czapliński, Piotr Pokora
    Conference:
    miniPAGES - Polish Algebraic Geometry mini-Semester (year: 2018, pages: 63 - 76), Publisher: Banach Center Publications
    Date:
    conference 18.04.2016 - 18.06.2016
    Status:
    Published
    DOI:
    link to the publication

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