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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Seshadri constants, Okounkov bodies and positivity

2011/01/B/ST1/04875

Keywords:

linear series Nagata's conjecture Seshadri constant Okounkov body

Descriptors:

  • 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):

prof. Tomasz Szemberg 

Number of co-investigators in the project: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 161 100 PLN

Project start date (Y-m-d): 2011-12-15

Project end date (Y-m-d): 2014-12-14

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. skaner sieciowy (z uwagi na wewnetrzne uregulowania na UP zakwalifikowany do innych kosztow bezposrednich a nie do aparatury) (4 500 PLN)
  2. komputer stacjonarny (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  • Book publications / chapters in book publications (1)
  1. Points fattening on P1×P1 and symbolic powers of bi-homogeneous ideals
    Authors:
    Magdalena Baczyńska, Marcin Dumnicki, Agata Habura, Grzegorz Malara, Piotr Pokora, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2014, tom: 218, strony: 1555-1562), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2013.12.007 - link to the publication
  2. Vanishing sequences and Okounkov bodies
    Authors:
    Sebastien Boucksom, Alex Kuronya, Catriona Maclean, Tomasz Szemberg
    Academic press:
    Mathematische Annalen (rok: 2015, tom: 361, strony: 811-834), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-014-1081 - link to the publication
  3. A vanishing theorem and symbolic powers of planar point ideals
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Academic press:
    LMS J. Comput. Math. (rok: 2013, tom: 16, strony: 373-387), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S1461157013000181 - link to the publication
  4. Counterexamples to the I^(3) subset I^2 containment
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Academic press:
    Journal of Algebra (rok: 2013, tom: 393, strony: 24-29), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.06.039 - link to the publication
  5. Symbolic generic initial systems of star configurations
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
    Academic press:
    JOURNAL OF PURE AND APPLIED ALGEBRA (rok: 2015, tom: 219, strony: 1073-1081), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.05.035 - link to the publication
  6. Bounded Negativity and Arrangements of Lines
    Authors:
    Thomas Bauer, Sandra Di Rocco, Brian Harbourne, Jack Huizenga, Anders Lundman, Piotr Pokora, Tomasz Szemberg
    Academic press:
    International Mathematics Research Notices , Wydawca: Oxford University Press
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/RNU236 - link to the publication
  7. Linear subspaces, symbolic powers and Nagata type conjectures
    Authors:
    Marcin Dumnicki, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Academic press:
    Advances in Mathematics (rok: 2014, tom: 252, strony: 471-491), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.029 - link to the publication
  8. Negative curves on algebraic surfaces
    Authors:
    Tomas Bauer, Brian Harbourne, Andreas Leopold Knutsen, Alex Kueronya, Stefan Mueller-Stach, Xavier Roulleau, Tomasz Szemberg
    Academic press:
    DUKE MATHEMATICAL JOURNAL (rok: 2013, tom: 162, strony: 1877-1894), Wydawca: DUKE UNIV PRESS, 905 W MAIN ST, STE 18-B, DURHAM, NC 27701 USA
    Status:
    Published
    DOI:
    10.1215/00127094-2335368 - link to the publication
  9. The effect of points fattening on Hirzebruch surfaces
    Authors:
    Sandra Di Rocco, Anders Lundman, Tomasz Szemberg
    Academic press:
    Mathematische Nachrichten (rok: 2015, tom: 288, strony: 577-583), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/mana.201400014 - link to the publication
  10. New results on fat points schemes in P^2
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Academic press:
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES (rok: 2013, tom: 20, strony: 51-54), Wydawca: AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
    Status:
    Published
    DOI:
    10.3934/era.2013.20.51 - link to the publication
  11. Symbolic powers of planar point configurations
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
    Academic press:
    JOURNAL OF PURE AND APPLIED ALGEBRA (rok: 2013, tom: 217, strony: 1026-1036), Wydawca: ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2012.09.026 - link to the publication
  12. Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone
    Authors:
    Piotr Pokora, Tomasz Szemberg
    Academic press:
    Electronic Research Announcements in Mathematical Sciences (rok: 2014, tom: 21, strony: 126-132), Wydawca: AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
    Status:
    Published
    DOI:
    10.3934/era.2014.21.126 - link to the publication
  1. The effect of points fattening in dimension three
    Authors:
    Thomas Bauer, Tomasz Szemberg
    Book:
    Recent Advances in Algebraic Geometry (rok: 2015, tom: LMS LNS: 417, strony: 45303), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    link to the publication

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