Boundedness of pluricanonical maps of varieties of general type
From MaRDI portal
Publication:2509014
DOI10.1007/s00222-006-0504-1zbMath1121.14011arXivmath/0504327OpenAlexW3104553830WikidataQ56221715 ScholiaQ56221715MaRDI QIDQ2509014
James McKernan, Christopher Derek Hacon
Publication date: 16 October 2006
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504327
Related Items
Boundedness of log-pluricanonical maps for surfaces of log-general type in positive characteristic ⋮ Quantitative extensions of pluricanonical forms and closed positive currents ⋮ A twisted bicanonical system with base points ⋮ On Shokurov's rational connectedness conjecture ⋮ Explicit birational geometry of 3-folds and 4-folds of general type, III ⋮ Pluricanonical maps for threefolds of general type ⋮ Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs ⋮ Characterization of the 4-canonical birationality of algebraic threefolds. II ⋮ On the pluricanonical maps of varieties of intermediate Kodaira dimension ⋮ Volume functions of linear series ⋮ Effective Iitaka fibrations ⋮ A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume ⋮ Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Păun ⋮ Pluricanonical maps and the Fujita conjecture ⋮ The third and fourth pluricanonical maps of threefolds of general type ⋮ Local syzygies of multiplier ideals ⋮ Extension theorems, non-vanishing and the existence of good minimal models ⋮ Topological methods in moduli theory ⋮ On the Chern numbers of a smooth threefold ⋮ Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic ⋮ On the fixed part of pluricanonical systems for surfaces ⋮ The isomorphism problem of projective schemes and related algorithmic problems ⋮ Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic ⋮ On explicit birational geometry for minimal n$n$‐folds of canonical dimension n−1$n-1$ ⋮ On effective birationality for sub-pairs ⋮ Geometry of polarised varieties ⋮ Augmented base loci and restricted volumes on normal varieties, II: The case of real divisors ⋮ Restricted volumes on Kähler manifolds ⋮ On rational maps from a general surface in to surfaces of general type ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Boundedness of fibers for pluricanonical maps of varieties of general type ⋮ The canonical volume of minimal 3-folds of general type ⋮ Examples of threefolds with Kodaira dimension 1 or 2 ⋮ On the \(L{^2}\)-extension of twisted holomorphic sections of singular Hermitian line bundles ⋮ On the birational automorphisms of varieties of general type ⋮ Local volumes of cartier divisors over normal algebraic varieties ⋮ On Severi type inequalities ⋮ Extension of sections via adjoint ideals ⋮ Relative critical exponents, non-vanishing and metrics with minimal singularities ⋮ Arakelov-Parshin rigidity of towers of curve fibrations ⋮ Augmented base loci and restricted volumes on normal varieties ⋮ Effective finite generation for adjoint rings ⋮ Nakamaye's theorem on log canonical pairs ⋮ Some birationality criteria on 3-folds with \(p_g>1\) ⋮ Small bound for birational automorphism groups of algebraic varieties (with an appendix by Yujiro Kawamata) ⋮ Kähler structures on spin 6-manifolds ⋮ Generalised pairs in birational geometry ⋮ Adjoint ideals along closed subvarieties of higher codimension ⋮ Characterization of the 4-canonical birationality of algebraic threefolds ⋮ Bergman kernels and the pseudoeffectivity of relative canonical bundles ⋮ Threefolds of Kodaira dimension one ⋮ The sharp lower bound for the volume of threefolds of general type with \(\chi({\mathcal O}_X)=1\) ⋮ On volumes along subvarieties of line bundles with nonnegative Kodaira-Iitaka dimension ⋮ Pluricanonical systems on irregular 3-folds of general type ⋮ Existence of minimal models for varieties of log general type II ⋮ Some lower bounds for the canonical volume of 3-folds of general type ⋮ Anti-pluricanonical systems on Fano varieties ⋮ New directions in the minimal model program ⋮ Pluricanonical systems on algebraic varieties of general type ⋮ Effective log Iitaka fibrations for surfaces and threefolds ⋮ Equality in the Bogomolov-Miyaoka-Yau inequality in the non-general type case ⋮ On projective threefolds of general type with small positive geometric genus ⋮ A sharp lower bound for the canonical volume of 3-folds of general type ⋮ On the finiteness theorem for rational maps on a variety of general type ⋮ Differentiability of volumes of divisors and a problem of Teissier ⋮ A geometric approach to problems in birational geometry ⋮ Varieties of general type with small volumes ⋮ ACC for log canonical thresholds ⋮ Deformations of canonical pairs and Fano varieties ⋮ Degenerations of rationally connected varieties ⋮ On threefolds of general type with \(\chi = 1\) ⋮ On minimal 4-folds of general type with \(p_g \geq 2\) ⋮ Factoring 3-fold flips and divisorial contractions to curves ⋮ Pluricanonical systems for 3-folds and 4-folds of general type ⋮ Restricted Bergman kernel asymptotics ⋮ Vanishing cohomology on a double cover ⋮ Weighted Hypersurfaces with Either Assigned Volume or Many Vanishing Plurigenera ⋮ Parametrization of rational maps on a variety of general type, and the finiteness theorem ⋮ Unnamed Item ⋮ Varieties of general type with doubly exponential asymptotics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher direct images of dualizing sheaves. I
- Pluricanonical maps of minimal 3-folds
- Invariance of plurigenera
- Plurigenera of regular threefolds
- On Fujita's freeness conjecture for 3-folds and 4-folds
- Global holomorphic 2-forms and pluricanonical systems on threefolds
- Orbifolds, special varieties and classification theory.
- On Shokurov's rational connectedness conjecture
- Pluricanonical systems of projective varieties of general type. II
- The relative pluricanonical stability for 3-folds of general type
- Sur Les Applications Pluricanoniques Des Varietes de Type Tres General en Dimension 3