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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Morphisms and diagonals of Mori Dream Spaces, phylogenetics, and applications of Cox rings

2013/11/D/ST1/02580

Keywords:

Cox ring Mori Dream Space diagonal toric variety algebraic group model of a phylogenetic tree phylogenetic complexity

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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jarosław Buczyński 

Number of co-investigators in the project: 5

Call: SONATA 6 - announced on 2013-09-16

Amount awarded: 369 830 PLN

Project start date (Y-m-d): 2014-07-17

Project end date (Y-m-d): 2018-01-16

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. laptop z akcesoriami (takimi jak zewnętrzna myszka i klawiatura, dodatkowy RAM, przenośna pamięć USB, kabel sieciowy) (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Book publications / chapters in book publications (1)
  1. On the locus of points of high rank
    Authors:
    Jarosław Buczyński, Kangjin Han, Massimiliano Mella, Zach Teitler
    Academic press:
    European Journal of Mathematics (rok: 2018, tom: 4(1), strony: 113–136), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40879-017-0172-2 - link to the publication
  2. Maps of Mori Dream Spaces in Cox coordinates. Part I: existence of descriptions
    Authors:
    Jarosław Buczyński, Oskar Kędzierski
    Academic press:
    Mathematische Nachrichten (rok: 2017, tom: --, strony: 17), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201600287 - link to the publication
  3. Computing resolutions of quotient singularities
    Authors:
    Maria Donten-Bury, Simon Keicher
    Academic press:
    Journal of Algebra (rok: 2017, tom: 472, strony: 546-572), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.042 - link to the publication
  4. The Hackbusch Conjecture on tensor formats
    Authors:
    Weronika Buczyńska, Jarosław Buczyński, Mateusz Michałek
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2015, tom: 104 (4), strony: 749-761), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2015.05.002 - link to the publication
  5. Cox rings of some symplectic resolutions of quotient singularities
    Authors:
    Maria Donten-Bury, Maksymilian Grab
    Academic press:
    (w recenzji) (rok: 2015, tom: (w recenzji), strony: (w recenzji)), Wydawca: (w recenzji)
    Status:
    Submitted
    DOI:
    (w - link to the publication
  6. The Hackbusch conjecture on tensor formats - part two
    Authors:
    Weronika Buczyńska
    Academic press:
    Linear Algebra and its Applications (rok: 2020, tom: 584, strony: 221-232), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2019.09.020 - link to the publication
  7. Immaculate line bundles on toric varieties
    Authors:
    Klaus Altmann, Jarosław Buczyński, Lars Kastner, Anna-Lena Winz
    Academic press:
    . (rok: 2018, tom: ., strony: 17533), Wydawca: .
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Cox Rings and Algebraic Maps
    Authors:
    Tomasz Mańdziuk
    Academic press:
    Mathematische Nachrichten (rok: 2019, tom: 292(2), strony: 389-401), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201700125 - link to the publication
  1. Khovanskii bases of Cox-Nagata rings and tropical geometry
    Authors:
    Martha Bernal, Daniel Corey, Maria Donten-Bury, Naoki Fujita, Georg Merz
    Book:
    Combinatorial Algebraic Geometry (eds. G.G. Smith and B. Sturmfels), Series Title: Fields Institute Communications (rok: 2017, tom: 80, strony: 159–179), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication

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