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

2011/01/B/ST1/00879

Keywords

Descriptors

  • ST1_8: Analiza
  • ST1_4: Geometria algebraiczna i zespolona

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

Voivodeship: 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
2011-12-06
Project end date
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. Cost: 7 980 PLN
  2. Laptop. Cost: 11 917 PLN

Information in the final report

Publication in academic press/journals (8)

  1. On the completeness of a metric related to the Bergman metric

    Authors:
    Ż. Dinew
    Academic press:
    Monatsh Math (year: 2013, volume: 172, pages: 277–291), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-013-0501-6 – link to the publication

  2. Kołodziej's subsolution theorem for unbounded pseudoconvex domains

    Authors:
    Per Ahag i Rafał Czyż
    Academic press:
    ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA (year: 2012, volume: 50, pages: 46226), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    link to the publication

  3. Radially symmetric plurisubharmonic function

    Authors:
    P. Ahag, R. Czyż, L. Persson
    Academic press:
    Ann. Polon. Math. (year: 2012, volume: 106, pages: 46039), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap106-0-11 – link to the publication

  4. Plurisubharmonic functions on compact sets

    Authors:
    R. Czyż, L. Hed, H. Persson,
    Academic press:
    Ann. Polon. Math. (year: 2012, volume: 106, pages: 133-144), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap106-0-11 – link to the publication

  5. A priori estimates for the complex Hessian equations

    Authors:
    S. Dinew, S. Kołodziej
    Academic press:
    Analysis & PDE (year: 2014, volume: 7, pages: 227-244), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2014.7-1 – link to the publication

  6. 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. (year: 2014, volume: 16, pages: 619-647), Publisher: EMS Publishing House
    Status:
    Published
    DOI:
    10.4171/JEMS – link to the publication

  7. Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds

    Authors:
    Sławomir Kołodziej, Nguyen Ngoc Cuong
    Status:
    Accepted for publication

  8. Liouville and Calabi-Yau type theorems for complex Hessian equations

    Authors:
    S. Dinew, S. Kołodziej
    Status:
    Accepted for publication

Articles in post-conference publications (1)

  1. Weak solutions to the complex Monge-Ampere equation

    Authors:
    Sławomir Kołodziej
    Conference:
    European Congress of Mathematics Kraków, 2-7 July, 2012 (year: 2014, pages: 415-428), Publisher: European Mathematical Society
    Date:
    conference 2-7 Lipca 2012
    Status:
    Published

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