PreprintCC BY-NC-ND 4.0arXiv
Classification of low degree del Pezzo orbifolds II
Abstract
Del Pezzo orbifolds are del Pezzo surfaces equipped with a strict normal crossing divisor, called boundary, such that the log anticanonical divisor is ample. We classify del Pezzo orbifolds of degree less than 6 in terms of components of the boundary, in the sense of Campana. This completes our previous work on classification of del Pezzo orbifolds with irreducible boundaries.
Related
- Campana Rational Connectedness and Weak Approximation of Del Pezzo Orbifolds
- Generalized Iskovskikh surfaces and unirationality of del Pezzo surfaces of degree $2$
- Closed points on del Pezzo surfaces of degree 4 and index 2
- An Algorithm for Generating All Berglund-Hubsch-Type Calabi-Yau Orbifolds and Their Mirrors. Classification of Maximal Admissible Groups
- Classification of order-two T-duality orbifolds at the SO(12) free fermionic point
BibTeX
@misc{dandapat2026classification,
title = {{Classification of low degree del Pezzo orbifolds II}},
author = {Saptarshi Dandapat},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06357},
eprint = {2610.06357},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06357},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Classification of low degree del Pezzo orbifolds II
AU - Saptarshi Dandapat
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06357
UR - https://arxiv.org/abs/2610.06357
AB - Del Pezzo orbifolds are del Pezzo surfaces equipped with a strict normal crossing divisor, called boundary, such that the log anticanonical divisor is ample. We classify del Pezzo orbifolds of degree less than 6 in terms of components of the boundary, in the sense of Campana. This completes our previous work on classification of del Pezzo orbifolds with irreducible boundaries.
ER -