Add co-authors Co-authors. We show that the augmented base locus coincides with the exceptional locus (i.e., null locus) for any nef $$\\mathbb R$$ R -Cartier divisor on any scheme projective over a field (of any characteristic). Authors. (original title was: On log minimal models and Zariski decompositions II), 2013. Caucher Birkar works in algebraic geometry, in particular, birational geometry. Upload PDF. Skip to search form Skip to main content > Semantic Scholar's Logo. All rights reserved. His work involves various topics such as minimal models, Fano and Calabi-Yau and general type varieties, singularity theory, positive characteristic geometry, etc. New citations to this author. He was elected a Fellow of the Royal Society (FRS) in 2019 for "substantial contributions to the improvement of natural knowledge".. References On If you have additional information or corrections regarding this mathematician, please use the update form.To submit students of this mathematician, please use the new data form, noting this mathematician's MGP ID of 98185 for the advisor ID. You can also search for this author in PubMed Google Scholar. You are currently offline. De-Qi Zhang. View author publications. J. Chen and M. Chen, Explicit birational geometry ... Caucher Birkar. Upload PDF. We apologise for any inconvenience. finite generation : In joint work with Paolo Cascini, Christopher Hacon, and James McKernan, Birkar proved the existence of minimal models for varieties of general type and the finite generation of canonical rings. His family lived on a subsistence farm growing rice, wheat and vegetables. This "Cited by" count includes citations to the following articles in Scholar. Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, … PDF Restore Delete Forever. Existence of Upload PDF. Supplement to the paper "On existence of log minimal models II", 2011. Divisorial algebras and modules on schemes, 2011. In work on Fano varieties Birkar proved the Borisov-Alexeev-Borisov conjecture. This "Cited by" count includes citations to the following articles in Scholar. De-Qi Zhang. Copyright © 2020 The Royal Society. We also discuss some problems related to augmented base loci of log divisors. The ones marked * may be different from the article in the profile. The ones marked * may be different from the article in the profile. An immediate corollary of these results is that log flips exist for log canonical pairs. Citations 2,447. Birkar has received numerous awards including the Philip Leverhulme Prize (2010), the American Mathematical Society Moore research article prize (2016), the London Mathematical Society Whitehead prize (2018), and the Fields Medal (2018). Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Follow this author. Please help us improve this page by taking our, The Royal Society is a Fellowship of many of the world's most eminent We prove that any LMMP/Z on K X +B with scaling of an ample/Z divisor terminates with a good log minimal model or a Mori fibre space. Fils d’agriculteurs kurdes, Caucher Birkar est l’un des quatre médaillés Fields 2018. Registered charity number 207043, (Lines open Mon-Fri, 9:00-17:00. minimal models for varieties of log general type. Done. Boundedness On existence of log minimal models - Volume 146 Issue 4 - Caucher Birkar. 14A15 or 14A* Author search: Sequence does not matter; use of first name or initial varies by journal, e.g. Minimal models, flips and Follow this author. termination of log flips in dimension four. New citations to this author. Boundedness of elliptic Calabi-Yau varieties with a rational section, 2020, On connectedness of non-klt loci of singularities of pairs, 2020, Bounding non-rationality of divisors on 3-fold Fano fibrations , 2020, Geometry and moduli of polarised varieties, 2020, Generalised pairs in birational geometry, 2020, Singularities of linear systems and boundedness of Fano varieties, 2016, Anti-pluricanonical systems on Fano varieties, 2016, Iitaka's Cn,m conjecture for 3-folds over finite fields, 2015. E. Lindenstrauss . Done. New articles related to this author's research . PDF Restore Delete Forever. On This work also has deep applications to complements theory and linear systems, singularity theory, structure of birational automorphism groups, etc, and is expected to find further important applications especially to the minimal model program. minimal models according to Shokurov. Caucher Birkar (de nom de naissance Fereydoun Derakhshani, en kurde : کۆچەر بیرکار, Koçer Bîrkar), est un mathématicien kurde iranien devenu citoyen britannique, né en juillet 1978 à Marivan (Iran). Done. Caucher Birkar FB Fanpage. Il est l'un des contributeurs principaux de la géométrie birationnelle moderne. a tribute to V.V. On existence of log minimal models and weak Zariski decompositions. Here are the instructions of how to enable JavaScript in your browser. of epsilon-lc complements on surfaces. Caucher Birkar, 40, has made breakthroughs in the classification of algebraic varieties — geometric objects that arise from polynomial equations, such as y = x2. Log canonical pairs with good augmented base loci - Volume 150 Issue 4 - Caucher Birkar, Zhengyu Hu New citations to this author. In 2003 he was awarded the Cecil King Travel Scholarship by the London Mathematical Society as the most promising PhD student. We welcome any additional information. topo* Subject search: Truncate MSC codes with wildcard, e.g. Research interests: Algebraic geometry (higher dimensional, birational, minimal model program). Le Kurde iranien Caucher Birkar, qui s'est fait voler le 1er août 2018 la médaille Fields de mathématiques quelques minutes après l'avoir reçue à Rio de Janeiro (Brésil), en a obtenu une autre. Exact phrase search: Use quotes, e.g. 229 likes. Polarized pairs, log minimal models, and Zariski decompositions We show that a more general statement follows from the ACC for lc thresholds. Singularities on the base of a Fano type fibration, 2012.