Professor Caucher Birkar | Department of Pure Mathematics and Mathematical Statistics

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Professor of Mathematics

Research Interests: Algebraic Geometry

Publications

Singularities on toric fibrations

C Birkar, Y Chen

– Sbornik: Mathematics

(2021)

212,

288

(DOI: 10.1070/sm9446)

Singularities of linear systems and boundedness of Fano varieties

C Birkar

– Annals of Mathematics

(2020)

193,

347

(DOI: 10.4007/annals.2021.193.2.1)

Anti-pluricanonical systems on Fano varieties

C Birkar

– Annals of Mathematics

(2019)

190,

345

(DOI: 10.4007/annals.2019.190.2.1)

Log Calabi-Yau fibrations

C Birkar

– arXiv

(2018)

Log Calabi-Yau fibrations

C Birkar

(2018)

Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

C Birkar, Y Chen, L Zhang

– Nagoya Mathematical Journal

(2018)

229,

21

(DOI: 10.1017/nmj.2016.61)

Birational geometry of algebraic varieties

C Birkar

– arXiv

(2017)

Existence of Mori fibre spaces for 3-folds in char $p$

C Birkar, J Waldron

– Advances in Mathematics

(2017)

313,

62

(DOI: 10.1016/j.aim.2017.03.032)

The augmented base locus of real divisors over arbitrary fields

C Birkar

– Mathematische Annalen

(2016)

368,

905

(DOI: 10.1007/s00208-016-1441-y)

Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

C Birkar, DQ Zhang

– Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques

(2016)

123,

283

(DOI: 10.1007/s10240-016-0080-x)