On semi-continuity problems for minimal log discrepancies
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Yusuke Nakamura
Abstract
We show the semi-continuity property of minimal log discrepancies for varieties which have a crepant resolution in the category of Deligne–Mumford stacks. Using this property, we also prove the ideal-adic semi-continuity problem for toric pairs.
Funding source: Grant-in-Aid for Scientific Research
Award Identifier / Grant number: KAKENHI No. 25-3–3
Funding source: Grant-in-Aid for JSPS fellows
Funding source: Program for Leading Graduate Schools, MEXT, Japan
The author expresses his gratitude to his advisor Professor Yujiro Kawamata for his encouragement and valuable advice. He is grateful to Atsushi Ito and Professors Shihoko Ishii, Daisuke Matsushita, Shinnosuke Okawa, Shunsuke Takagi, and Yoshinori Gongyo for useful comments and suggestions.
© 2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Quiver Hecke superalgebras
- On a p-adic invariant cycles theorem
- On the Chow motive of an abelian scheme with non-trivial endomorphisms
- Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components
- Soliton-type metrics and Kähler–Ricci flow on symplectic quotients
- On semi-continuity problems for minimal log discrepancies
- The Haagerup property for locally compact quantum groups
- The spt-crank for ordinary partitions
Articles in the same Issue
- Frontmatter
- Quiver Hecke superalgebras
- On a p-adic invariant cycles theorem
- On the Chow motive of an abelian scheme with non-trivial endomorphisms
- Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components
- Soliton-type metrics and Kähler–Ricci flow on symplectic quotients
- On semi-continuity problems for minimal log discrepancies
- The Haagerup property for locally compact quantum groups
- The spt-crank for ordinary partitions
