Irregularities of special C-pairs
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917195973394432 |
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| author | Kebekus, Stefan Rousseau, Erwan Touzet, Frédéric |
| author_facet | Kebekus, Stefan Rousseau, Erwan Touzet, Frédéric |
| contents | This paper studies irregularity-type invariants of special C-pairs, or "geometric orbifolds" in the sense of Campana. Under mild assumptions on the singularities, we show that the augmented irregularity of a C-pair (X,D) is bounded by its dimension. This generalizes earlier results of Campana, and strengthens known results even in the classic case where X is a projective manifold and D = 0. The proof builds on new extension results for adapted forms, analysis of foliations on Albanese varieties, and constructions of Bogomolov sheaves using strict wedge subspaces of adapted forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07318 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Irregularities of special C-pairs Kebekus, Stefan Rousseau, Erwan Touzet, Frédéric Algebraic Geometry 32C99, 32H99 This paper studies irregularity-type invariants of special C-pairs, or "geometric orbifolds" in the sense of Campana. Under mild assumptions on the singularities, we show that the augmented irregularity of a C-pair (X,D) is bounded by its dimension. This generalizes earlier results of Campana, and strengthens known results even in the classic case where X is a projective manifold and D = 0. The proof builds on new extension results for adapted forms, analysis of foliations on Albanese varieties, and constructions of Bogomolov sheaves using strict wedge subspaces of adapted forms. |
| title | Irregularities of special C-pairs |
| topic | Algebraic Geometry 32C99, 32H99 |
| url | https://arxiv.org/abs/2601.07318 |