Skip to content
DraconiticResearch
Search Sources API
190,839 studies31 sourcesUpdated 11 min ago
PreprintarXiv licencearXiv

Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class

  • Tristan C. Collins
  • Jason Lo
  • Yun Shi
  • Shing-Tung Yau
Open at sourcePDFDOICite

Abstract

In this article, we study the Bridgeland stability of the cotangent bundle on K3 surfaces and surfaces with ample canonical class. On a surface X with ample canonical class K, we find values t0>0 such that the cotangent bundle is semistable with respect to the Bridgeland stability σtK for all t > t0. We also study special cases such as the fake projective planes and the fake quadrics.

Related

  1. A description of the canonical symplectic form of the cotangent bundle of a generalized flag manifold
    Juan Fervenza, Lino Grama, Luiz A. B. San Martin
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  2. On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle
    Angelo Felice Lopez
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. A counterexample to the generalized Viterbo conjecture on the spectral distance in a disc cotangent bundle
    Filip Broćić, Baptiste Serraille, Ibrahim Trifa
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  4. Nearby Lagrangians in the cotangent bundle of the Klein bottle
    Yuan Gao, Weiwei Wu, Tianyu Yuan
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  5. Abundance of affine algebraic structures on stabilized cotangent bundles of surfaces
    Yin Li
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{collins2026stability,
  title = {{Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class}},
  author = {Tristan C. Collins and Jason Lo and Yun Shi and Shing-Tung Yau},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04244},
  eprint = {2610.04244},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04244},
}
RIS
TY  - UNPB
TI  - Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class
AU  - Tristan C. Collins
AU  - Jason Lo
AU  - Yun Shi
AU  - Shing-Tung Yau
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.04244
UR  - https://arxiv.org/abs/2610.04244
AB  - In this article, we study the Bridgeland stability of the cotangent bundle on K3 surfaces and surfaces with ample canonical class. On a surface X with ample canonical class K, we find values t_0>0 such that the cotangent bundle is semistable with respect to the Bridgeland stability σ_tK for all t > t_0. We also study special cases such as the fake projective planes and the fake quadrics.
ER  -