A boundedness conjecture for minimal log discrepancies on a fixed germ
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2015
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910425035046912 |
|---|---|
| author | Mustata, Mircea Nakamura, Yusuke |
| author_facet | Mustata, Mircea Nakamura, Yusuke |
| contents | We consider the following conjecture: on a klt germ (X,x), for every finite set I there is a positive integer N with the property that for every R-ideal J on X with exponents in I, there is a divisor E over X that computes the minimal log discrepancy of (X,J) at x and such that its discrepancy k_E is bounded above by N. We show that this implies Shokurov's ACC conjecture for minimal log discrepancies on a fixed klt germ and give some partial results towards the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1502_00837 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | A boundedness conjecture for minimal log discrepancies on a fixed germ Mustata, Mircea Nakamura, Yusuke Algebraic Geometry We consider the following conjecture: on a klt germ (X,x), for every finite set I there is a positive integer N with the property that for every R-ideal J on X with exponents in I, there is a divisor E over X that computes the minimal log discrepancy of (X,J) at x and such that its discrepancy k_E is bounded above by N. We show that this implies Shokurov's ACC conjecture for minimal log discrepancies on a fixed klt germ and give some partial results towards the conjecture. |
| title | A boundedness conjecture for minimal log discrepancies on a fixed germ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1502.00837 |