The geometric cone conjecture in relative dimension two
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912036421632000 |
|---|---|
| author | Moraga, Joaquín Stark, Talon |
| author_facet | Moraga, Joaquín Stark, Talon |
| contents | Let $X\rightarrow S$ be a fibration of relative dimension at most two and let $(X,Δ)$ be a klt pair for which $K_X+Δ\equiv_S 0$. We show that there are only finitely many Mori chambers and Mori faces in the movable effective cone $\mathcal{M}^e(X/S)$ up to the action of relative pseudo-automorphisms of $X/S$ preserving $Δ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The geometric cone conjecture in relative dimension two Moraga, Joaquín Stark, Talon Algebraic Geometry Primary: 14E30, 14E07, Secondary: 14C20, 14D06 Let $X\rightarrow S$ be a fibration of relative dimension at most two and let $(X,Δ)$ be a klt pair for which $K_X+Δ\equiv_S 0$. We show that there are only finitely many Mori chambers and Mori faces in the movable effective cone $\mathcal{M}^e(X/S)$ up to the action of relative pseudo-automorphisms of $X/S$ preserving $Δ$. |
| title | The geometric cone conjecture in relative dimension two |
| topic | Algebraic Geometry Primary: 14E30, 14E07, Secondary: 14C20, 14D06 |
| url | https://arxiv.org/abs/2409.13068 |