Remarks on nef and movable cones of hypersurfaces in Mori dream spaces

DOI10.1016/j.jpaa.2022.107101zbMath1497.14074arXiv2012.00272OpenAlexW3138050589MaRDI QIDQ2153804

Publication date: 13 July 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00272

zbMATH Keywords

Mori dream space Calabi-Yau variety minimal model cone conjecture

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (2)

The movable cone of Calabi-Yau threefolds in ruled Fano manifolds ⋮ Nef cones of fiber products and an application to the cone conjecture

Cites Work

Unnamed Item
Unnamed Item
On images of Mori dream spaces
A Lefschetz hyperplane theorem for Mori dream spaces
The weak Lefschetz principle is false for ample cones.
A criterion for the primitivity of a birational automorphism of a Calabi-Yau manifold and an application
On Fano varieties whose effective divisors are numerically eventually free
On extremal rays of the higher dimensional varieties
Flops connect minimal models
Mori dream spaces
The cone conjecture for Calabi-Yau pairs in dimension 2
A survey on Cox rings
Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
Jet schemes, log discrepancies and inversion of adjunction
Movable vs monodromy nilpotent cones of Calabi-Yau manifolds
Isomorphic quartic \(K3\) surfaces in the view of Cremona and projective transformations
Fano varieties with \(\mathrm{Nef}(X)=\mathrm{Psef}(X)\) and \(\rho(X)=\dim X-1\)
Hypersurfaces in Mori dream spaces
The Cayley-Oguiso automorphism of positive entropy on a \(K3\) surface
The movable cone of certain Calabi-Yau threefolds of Picard number two
Rational curves and strictly nef divisors on Calabi-Yau threefolds
Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces
On generalised abundance. I
Birational geometry of hypersurfaces in products of projective spaces
Cox rings of \(K3\) surfaces with Picard number 2
Zariski \(F\)-decomposition and Lagrangian fibration on hyperkähler manifolds
Characterizations of complex projective spaces and hyperquadrics
On the ample cone of an ample hypersurface
On the birationality of complete intersections associated to nef-partitions
A survey on the Campana-Peternell Conjecture
Discreteness of log discrepancies over log canonical triples on a fixed pair
Automorphism groups of Calabi-Yau manifolds of Picard number 2
Discrete automorphism groups of convex cones of finite type
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Free automorphisms of positive entropy on smooth K\"ahler surfaces
ON ALGEBRAIC FIBER SPACE STRUCTURES ON A CALABI-YAU 3-FOLD
The Lefschetz Principle in Birational Geometry: Birational Twin Varieties
On Cox rings of K3 surfaces
Existence of minimal models for varieties of log general type
A view on extending morphisms from ample divisors
Termination of Flops for 4-Folds
Compactifications of moduli spaces inspired by mirror symmetry
On the Cone of Divisors of Calabi–Yau Fiber Spaces
The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds
Beyond the K\"ahler cone
Nef Line Bundles on Calabi–Yau Threefolds, I
Mori dream spaces and blow-ups
On the Weak Lefschetz Principle in Birational Geometry
On Mori chamber and stable base locus decompositions
Mirror symmetry and projective geometry of Reye congruences I
Introduction to the Mori program
Mori dream spaces and GIT.

This page was built for publication: Remarks on nef and movable cones of hypersurfaces in Mori dream spaces