Birational boundedness of rationally connected Calabi-Yau 3-folds
| Autor: | Gabriele Di Cerbo, Jingjun Han, Weichung Chen, Roberto Svaldi, Chen Jiang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
General Mathematics
Modulo Calabi-Yau 3-folds Boundedness Rationally connected Type (model theory) 01 natural sciences Set (abstract data type) Combinatorics Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry 0103 physical sciences FOS: Mathematics Calabi–Yau manifold 0101 mathematics Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry Mathematics 010102 general mathematics Zero (complex analysis) FLOPS Bounded function Gravitational singularity Mathematics::Differential Geometry 010307 mathematical physics Settore MAT/03 - Geometria |
| Popis: | We prove that rationally connected Calabi--Yau 3-folds with kawamata log terminal (klt) singularities form a birationally bounded family, or more generally, rationally connected $3$-folds of $\epsilon$-CY type form a birationally bounded family for $\epsilon>0$. Moreover, we show that the set of $\epsilon$-lc log Calabi--Yau pairs $(X, B)$ with coefficients of $B$ bounded away from zero is log bounded modulo flops. As a consequence, we deduce that rationally connected klt Calabi--Yau $3$-folds with mld bounded away from $1$ are bounded modulo flops. Comment: 28 pages, to appear in Advances in Mathematics |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|