Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 8 min ago
PreprintarXiv licencearXiv

Tautological classes on KSBA spaces

Abstract

We extend the definitions of kappa, psi and lambda classes from the case of moduli spaces of stable curves to the higher-dimensional case of KSBA spaces, and prove a number of their basic properties.

Related

  1. Kappa Classes on the KSBA Space of Stable Toric Pairs
    Byeol Han
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Aspherical manifolds with nonvanishing tautological classes
    Mauricio Bustamante
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  3. Hodge integrals on admissible covers and tautological projections of Prym classes
    Yoav Len, Sam Molcho, Navid Nabijou
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Big and nef cohomology classes on compact Kähler spaces
    Duc-Viet Vu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryAnalysis & PDEsarXiv
  5. Classes of integrable metrics on Banach spaces
    A. Konyaev, P. Topalov
    arXivPreprintarXiv licenceFull textAnalysis & PDEsDynamical systemsarXiv
BibTeX
@misc{alexeev2026tautological,
  title = {{Tautological classes on KSBA spaces}},
  author = {Valery Alexeev},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2607.19251},
  eprint = {2607.19251},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.19251},
}
RIS
TY  - UNPB
TI  - Tautological classes on KSBA spaces
AU  - Valery Alexeev
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2607.19251
UR  - https://arxiv.org/abs/2607.19251
AB  - We extend the definitions of kappa, psi and lambda classes from the case of moduli spaces of stable curves to the higher-dimensional case of KSBA spaces, and prove a number of their basic properties.
ER  -