The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties
From MaRDI portal
Publication:6183951
DOI10.1215/00127094-2022-0087arXiv2108.10371OpenAlexW3195096181MaRDI QIDQ6183951
Tristan Rivière, Riccardo Caniato
Publication date: 5 January 2024
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.10371
calibrated normal and integral currentsgeometric analysis on almost complex manifoldsuniqueness of tangent coneweakly pseudoholomorphic maps
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Calibrations and calibrated geometries (53C38) Almost complex manifolds (32Q60) Currents in global analysis (58A25) Holomorphic mappings and correspondences (32Hxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Uniqueness of tangent cones for semicalibrated integral 2-cycles
- A regularity theory for harmonic maps
- Calibrated geometries
- Partial regularity for stationary harmonic maps into spheres
- On the singular set of stationary harmonic maps
- Everywhere discontinuous harmonic maps into spheres
- A characterization of holomorphic chains
- Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones
- Analytic tangent cones of admissible Hermitian Yang-Mills connections
- Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations
- The singular set of 1-1 integral currents
- Compactness results for triholomorphic maps
- Uniqueness of tangent cones to positive-\((p,p)\) integral cycles
- The currents defined by analytic varieties
- On the first variation of a varifold
- Sur l'existence du cône tangent à un courant positif fermé. (About the existence of the tangent cone with positive closed current)
- The regularity of Special Legendrian Integral Cycles
- Area-Minimizing Surfaces, Faces of Grassmannians, and Calibrations
- Nonunique tangent maps at isolated singularities of harmonic maps
- The singular set of J-holomorphic maps into projective algebraic varieties
- Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
- Partial regularity for harmonic maps and related problems
- Tangent cones to positive-\((1,1)\) De Rham currents