Work

Classifying log del Pezzo surfaces with torus action

Year: 2025
Type: article
Abstract: We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/ k -log canonical if it allows a resolution of singularities with discrepanies all greater than or equal to $$1/k-1$$ 1 / k - 1 . We provide a concrete classification algorithm for fixed k and give explicit results for $$k=1$$ k = 1 , 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4410613159
FWCI: 1.756
Cites: 27
Cited by: 2
Related to: 10