C. Birkar

发表

Boundedness of elliptic Calabi-Yau varieties with a rational section.

Gabriele Di Cerbo, C. Birkar, R. Svaldi, 2020, 2010.09769.

IITAKA’S Cn,m CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS

C. Birkar, Lei Zhang, Yifei Chen, 2015 .

IITAKA Cn,m CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS

C. Birkar, Yifei Chen, Lei Zhang, 2018 .

Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

C. Birkar, De-Qi Zhang, 2014, 1410.0938.

Boundedness of $\epsilon$-log Canonical Complements on Surfaces

C. Birkar, 2004, math/0409254.

On Shokurov's Log Flips: The 3 dimensional case

C. Birkar, 2003, math/0303210.

Existence of flips and minimal models for 3-folds in char p

C. Birkar, 2013, 1311.3098.

Boundedness of ǫ-lc Complements on Surfaces

C. Birkar, 2008 .

Se p 20 06 Mld ’ s vs thresholds and flips

C. Birkar, V. Shokurov, 2008 .

Mld's vs thresholds and flips

C. Birkar, V. Shokurov, 2006, math/0609539.

Boundedness of ̄-Log Canonical Complements on Surfaces

C. Birkar, 2006 .

ACC for log canonical thresholds and termination of log flips

C. Birkar, 2005, math/0502116.

On existence of log minimal models and weak Zariski decompositions

C. Birkar, 2011, Mathematische Annalen.

On existence of log minimal models II

C. Birkar, 2009, 0907.4170.

On existence of log minimal models

C. Birkar, 2007, Compositio Mathematica.

On existence of log minimal models and weak Zariski decompositions

C. Birkar, 2009, 0907.5182.

The Iitaka conjecture Cn,m in dimension six

C. Birkar, 2008, Compositio Mathematica.

On termination of log flips in dimension four

C. Birkar, 2008, 0804.4587.

Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth birthday

C. Birkar, 高山茂晴, 啓示小木曽, 2017 .

Anticanonical volume of Fano 4-folds

C. Birkar, 2022, 2205.05288.

Moduli of algebraic varieties

C. Birkar, 2022, 2211.11237.

Boundedness and volume of generalised pairs

C. Birkar, 2021, 2103.14935.

Geometry and moduli of polarised varieties

C. Birkar, 2020 .

Varieties fibred over abelian varieties with fibres of log general type

C. Birkar, J. Chen, 2013, 1311.7396.

IITAKA $C_{n,m}$ CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS

C. Birkar, Lei Zhang, Yifei Chen, 2015, Nagoya Mathematical Journal.

Images of manifolds with semi-ample anti-canonical divisor

C. Birkar, Yifei Chen, 2016 .

On the moduli part of the Kawamata-Kodaira canonical bundle formula

C. Birkar, Yifei Chen, 2012, 1207.4070.

Topics in algebraic geometry

C. Birkar, 2011, 1104.5035.

Anti-pluricanonical systems on Fano varieties

C. Birkar, 2016, Annals of Mathematics.

Singularities of linear systems and boundedness of Fano varieties

C. Birkar, 2016, Annals of Mathematics.

Singularities on toric fibrations

C. Birkar, Yifei Chen, Y. Chen, 2020, 2010.07651.

Lectures on birational geometry

C. Birkar, 2012, 1210.2670.

Birational geometry

C. Birkar, 2007, 0706.1794.

Generalised pairs in birational geometry

Caucher Birkar, C. Birkar, 2020, EMS Surveys in Mathematical Sciences.

Ascending chain condition for log canonical thresholds and termination of log flips

C. Birkar, 2007 .

BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES

C. Birkar, 2017, Proceedings of the International Congress of Mathematicians (ICM 2018).

Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

C. Birkar, De-Qi Zhang, 2016, Publications mathématiques de l'IHÉS.

Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU

C. Birkar, Mihai Păun, 2009, 0904.2936.

Abstracts of Lectures Moduli 2007 September 3 -7, Hokkaido University

C. Birkar, C. Deninger, 2007 .

Existence of log canonical flips and a special LMMP

C. Birkar, 2012, Publications mathématiques de l'IHÉS.

Existence of log canonical flips and a special LMMP

C. Birkar, 2011, 1104.4981.

On log minimal models and Zariski decompositions II

C. Birkar, Zhengyu Hu, 2013, 1302.4015.

Log Calabi-Yau fibrations

C. Birkar, 2018, 1811.10709.

Geometry of polarised varieties

C. Birkar, 2020, Publications mathématiques de l'IHÉS.

On connectedness of non-klt loci of singularities of pairs

C. Birkar, 2020, 2010.08226.

Topics in algebraic geometry Lecture notes of an advanced graduate course

Caucher Birkar, C. Birkar, 2010 .

Singularities on the base of a Fano type fibration

C. Birkar, 2012, 1210.2658.

Boundedness of Fano type fibrations

C. Birkar, 2022, 2209.08797.

Variations of generalised pairs

C. Hacon, C. Birkar, 2022, 2204.10456.

Log canonical pairs with good augmented base loci

C. Birkar, Zhengyu Hu, 2013, Compositio Mathematica.

Bounding non-rationality of divisors on 3-fold Fano fibrations

C. Birkar, K. Loginov, 2020, Journal für die reine und angewandte Mathematik.

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

C. Birkar, Joe Waldron, 2014, 1410.4511.

The augmented base locus of real divisors over arbitrary fields

C. Birkar, 2013, 1312.0239.

Irrationality of degenerations of Fano varieties

C. Birkar, Santai Qu, 2024, 2401.07233.