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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Weak solutions of the complex Monge- Ampère equation on Kahler and Hermitian manifolds

2011/01/B/ST1/00879

Keywords:

complex Monge-Ampère operator plurisubharmonic functions Hemitian Kähler and Kähler-Einstein manifolds Kähler-Ricci flow

Descriptors:

  • ST1_8: Analysis
  • 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 Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir Kołodziej 

Number of co-investigators in the project: 4

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

Amount awarded: 480 200 PLN

Project start date (Y-m-d): 2011-12-06

Project end date (Y-m-d): 2014-12-05

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

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny HP z drukarką HP (7 980 PLN)
  2. Laptop (11 917 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (1)
  1. Holder continuous solutions to Monge-Ampere equations
    Authors:
    J.-P. Demailly, S. Dinew, V. Guedj, S. Kołodziej, H. Pham, A. Zeriahi
    Academic press:
    J. Europ. Math. Soc. (rok: 2014, tom: 16, strony: 619-647), Wydawca: EMS Publishing House
    Status:
    Published
    DOI:
    10.4171/JEMS - link to the publication
  2. Radially symmetric plurisubharmonic function
    Authors:
    P. Ahag, R. Czyż, L. Persson
    Academic press:
    Ann. Polon. Math. (rok: 2012, tom: 106, strony: 45308), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap106-0-11 - link to the publication
  3. Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds
    Authors:
    Sławomir Kołodziej, Nguyen Ngoc Cuong
    Academic press:
    Contemporary Mathematics (rok: 2014, tom: -, strony: -), Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    - - link to the publication
  4. Plurisubharmonic functions on compact sets
    Authors:
    R. Czyż, L. Hed, H. Persson,
    Academic press:
    Ann. Polon. Math. (rok: 2012, tom: 106, strony: 133-144), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap106-0-11 - link to the publication
  5. Kołodziej's subsolution theorem for unbounded pseudoconvex domains
    Authors:
    Per Ahag i Rafał Czyż
    Academic press:
    ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA (rok: 2012, tom: 50, strony: 45496), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    brak - link to the publication
  6. A priori estimates for the complex Hessian equations
    Authors:
    S. Dinew, S. Kołodziej
    Academic press:
    Analysis & PDE (rok: 2014, tom: 7, strony: 227-244), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2014.7-1 - link to the publication
  7. On the completeness of a metric related to the Bergman metric
    Authors:
    Ż. Dinew
    Academic press:
    Monatsh Math (rok: 2013, tom: 172, strony: 277–291), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-013-0501-6 - link to the publication
  8. Liouville and Calabi-Yau type theorems for complex Hessian equations
    Authors:
    S. Dinew, S. Kołodziej
    Academic press:
    American Journal of Mathematics (rok: 2015, tom: -, strony: -), Wydawca: Johns Hopkins University Press
    Status:
    Accepted for publication
    DOI:
    - - link to the publication
  1. Weak solutions to the complex Monge-Ampere equation
    Authors:
    Sławomir Kołodziej
    Conference:
    European Congress of Mathematics Kraków, 2-7 July, 2012 (rok: 2014, ), Wydawca: European Mathematical Society
    Data:
    konferencja 2-7 Lipca 2012
    Status:
    Published

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