Professor Caucher Birkar | Department of Pure Mathematics and Mathematical Statistics

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Professor of Mathematics

Research Interests: Algebraic Geometry

Publications

Anti-pluricanonical systems on Fano varieties

C Birkar

– Annals of Mathematics

(2019)

190,

345

(DOI: 10.4007/annals.2019.190.2.1)

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)

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)

Singularities on the base of a Fano type fibration

C Birkar

(2016)

(DOI: 10.1515/crelle-2014-0033)

Images of manifolds with semi-ample anti-canonical divisor

C Birkar, Y Chen

– Journal of Algebraic Geometry

(2015)

25,

273

(DOI: 10.1090/jag/662)

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)

Polarized pairs, log minimal models, and Zariski decompositions

C Birkar, Z Hu

– Nagoya Mathematical Journal

(2014)

215,

203

(DOI: 10.1215/00277630-2781096)

Log canonical pairs with good augmented base loci

C Birkar, Z Hu

– Compositio Mathematica

(2014)

150,

579

(DOI: 10.1112/S0010437X13007628)

The augmented base locus of real divisors over arbitrary fields

C Birkar

– Mathematische Annalen

(2017)

368,

905

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

Varieties fibred over abelian varieties with fibres of log general type

C Birkar, JA Chen

– Advances in Mathematics

(2015)

270,

206

(DOI: 10.1016/j.aim.2014.10.023)