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On deformations of foliated complex analytic structures II: Functors of Artin rings

Abstract

We study deformations of foliated nonsingular varieties defined by locally free subsheaves of tangent sheaves and locally free subshseaves of cotangent sheaves in the language of functors of Artin rings. We identify first-order deformations and obstructions.

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BibTeX
@misc{kim2026deformations,
  title = {{On deformations of foliated complex analytic structures II: Functors of Artin rings}},
  author = {Chunghoon Kim},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02277},
  eprint = {2610.02277},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02277},
}
RIS
TY  - UNPB
TI  - On deformations of foliated complex analytic structures II: Functors of Artin rings
AU  - Chunghoon Kim
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02277
UR  - https://arxiv.org/abs/2610.02277
AB  - We study deformations of foliated nonsingular varieties defined by locally free subsheaves of tangent sheaves and locally free subshseaves of cotangent sheaves in the language of functors of Artin rings. We identify first-order deformations and obstructions.
ER  -