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Information on the principal investigator and host institution

Information of the project and the call

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Local geometry of the Hilbert scheme of points and its applications

2014/13/N/ST1/02640

Keywords:

Hilbert scheme of points Gorenstein

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra

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):

Joachim Jelisiejew 

Number of co-investigators in the project: 2

Call: PRELUDIUM 7 - announced on 2014-03-17

Amount awarded: 97 370 PLN

Project start date (Y-m-d): 2015-02-10

Project end date (Y-m-d): 2017-08-09

Project duration:: 30 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (6)
  • Book publications / chapters in book publications (2)
  1. VSPs of cubic fourfolds and the Gorenstein locus of the Hilbert scheme of 14 points on A^6
    Authors:
    Joachim Jelisiejew
    Academic press:
    Linear Algebra and its Applications (rok: 2018, tom: 557, strony: 265-286), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2018.08.002 - link to the publication
  2. Classifying local Artinian Gorenstein algebras
    Authors:
    Joachim Jelisiejew
    Academic press:
    Collectanea Mathematica (rok: 2017, tom: 68, strony: 101-127), Wydawca: Springer Milan
    Status:
    Published
    DOI:
    10.1007/s13348-016-0183-1 - link to the publication
  3. Finite schemes and secant varieties over arbitrary characteristic
    Authors:
    Jarosław Buczyński, Joachim Jelisiejew
    Academic press:
    Differential Geometry and its Applications (rok: 2017, tom: 55, strony: 13–67), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2017.08.004 - link to the publication
  4. On polynomials with given Hilbert function and applications
    Authors:
    Alessandra Bernardi, Joachim Jelisiejew, Pedro Macias Marques, Kristian Ranestad
    Academic press:
    Collectanea Mathematica (rok: 2018, tom: 69, strony: 39-64), Wydawca: Springer Milan
    Status:
    Published
    DOI:
    10.1007/s13348-016-0190-2 - link to the publication
  5. Constructions of k-regular maps using finite local schemes
    Authors:
    Jarosław Buczyński, Tadeusz Januszkiewicz, Joachim Jelisiejew, Mateusz Michałek
    Academic press:
    Journal of the European Mathematical Society (rok: 2019, tom: --, strony: --), Wydawca: EMS Publishing House
    Status:
    Accepted for publication
    DOI:
    -- - link to the publication
  6. Irreducibility of the Gorenstein loci of Hilbert schemes via ray families
    Authors:
    Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari
    Academic press:
    Algebra Number Theory (rok: 2015, tom: 9, strony: 1525–1570), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2015.9.1525 - link to the publication
  1. Equations and Tropicalizations of Enriques Surfaces
    Authors:
    Barbara Bolognese, Corey Harris, Joachim Jelisiejew
    Book:
    Combinatorial Algebraic Geometry: Selected papers from the 2016 Apprenticeship Program (rok: 2017, tom: --, strony: 181-200), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication
  2. The Hilbert Scheme of 11 Points in A^3 is irreducible
    Authors:
    Theodosios Douvropoulos, Joachim Jelisiejew, Bernt Ivar Utstol Nodland, Zach Teitler
    Book:
    Combinatorial Algebraic Geometry: Selected papers from the 2016 Apprenticeship Program (rok: 2017, tom: --, strony: 321-352), Wydawca: Springer
    Status:
    Published

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