C. Birkar

Geometry and Topology · 2006–2017

A researcher in the Science corpus: 13 papers; trusts 36 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 94 citations into it; #230 of 7,422 by trust here, #99 by citations
• Mathematical Physics — 36 citations into it; #675 of 8,562 by trust here, #148 by citations
• Computational Theory and Mathematics — 32 citations into it; #7,311 of 12,182 by trust here, #6,798 by citations
• Algebra and Number Theory — 23 citations into it
• Applied Mathematics — 11 citations into it; #765 of 7,620 by trust here, #223 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it
• Statistical and Nonlinear Physics — 7 citations into it
• Management Science and Operations Research — 5 citations into it

Whom C. Birkar trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Christopher D. Hacon
2. Florin Ambro
3. Paolo Cascini
4. V. Shokurov
5. Hiromu Tanaka
6. Y. Kawamata
7. O. Fujino
8. J. McKernan
9. Valery Alexeev
10. J. Kollár

Who trusts C. Birkar overall

1. Y. Odaka
2. Christopher D. Hacon
3. H. Blum
4. O. Fujino
5. Ingrid Bauer
6. Yoshinori Gongyo
7. Stefano Filipazzi
8. Chenyang Xu
9. Chi Li
10. Brendan Hassett

Papers from C. Birkar's perspective

Ordered by how strongly the researchers C. Birkar trusts endorse each paper. Same corpus, a different order for every researcher.

1. Flops Connect Minimal Models
2. Inversion of adjunction on log canonicity
3. On the three dimensional minimal model program in positive characteristic
4. Birational Geometry of Algebraic Varieties
5. On pluricanonical systems of algebraic varieties of general type
6. A CANONICAL BUNDLE FORMULA
7. Quasi-log varieties
8. Mori dream spaces and GIT. (The Michigan mathematical journal)
9. On base point freeness in positive characteristic
10. Letters of a Bi-rationalist. VII Ordered termination

Their papers

• Ascending chain condition for log canonical thresholds and termination of log flips (2007) — 76 citations
• Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth birthday (2017) — 140 citations
• Singularities of linear systems and boundedness of Fano varieties (2016) — 291 citations
• Anti-pluricanonical systems on Fano varieties (2016) — 229 citations
• Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs (2014) — 181 citations
• Existence of Mori fibre spaces for 3-folds in char $p$ (2014) — 86 citations
• The augmented base locus of real divisors over arbitrary fields (2013) — 46 citations
• Existence of flips and minimal models for 3-folds in char p (2013) — 126 citations
• Singularities on the base of a Fano type fibration (2012) — 47 citations
• Existence of log canonical flips and a special LMMP (2011) — 181 citations
• On existence of log minimal models II (2009) — 81 citations
• On existence of log minimal models (2007) — 75 citations
• Existence of minimal models for varieties of log general type (2006) — 1,652 citations