|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Blowups with log
canonical singularities
Gregory Sankaran and Francisco Santos |
|
Geometry & Topology 25 (2021) 2145–2166
|
Abstract |
|
We show that the minimum weight of a weighted blowup of with –log canonical singularities is bounded by a constant depending only on and . This was conjectured by Birkar. Using the recent classification of –dimensional empty simplices by Iglesias-Valiño and Santos, we work out an explicit bound for blowups of with terminal singularities: the smallest weight is always at most , and at most in all but finitely many cases. |
Keywords
binational geometry, log canonical singularities, blowups,
lattice simplices
|
Mathematical Subject Classification 2010
Primary: 14B05
Secondary: 14E99, 14M25, 52B20
|
References |
Publication
Received: 18 March 2020
Revised: 30 June 2020
Accepted: 30 July 2020
Published: 12 July 2021
Proposed: Mark Gross
Seconded: Dan Abramovich, Walter Neumann
|
Authors |
| Gregory Sankaran | |
| Department of Mathematical
Sciences University of Bath Bath United Kingdom |
|
| Francisco Santos | |
| Departamento de Matemáticas,
Estadística y Computación Facultad de Ciencias Universidad de Cantabria Santander Spain |
|
