Log del Pezzo Surfaces of Rank 2 and Cartier Index 3 with a Unique Singularity
Fei Wang
TL;DR
This paper provides a complete classification of rank 2 log del Pezzo surfaces with Cartier index 3 that have a single singularity, enriching the understanding of their geometric structure.
Contribution
It offers the first comprehensive classification of these specific surfaces, filling a gap in the existing literature on log del Pezzo surfaces.
Findings
Complete classification of the specified surfaces
Identification of unique singularity configurations
Structural insights into rank 2, Cartier index 3 surfaces
Abstract
Log del Pezzo surfaces play the role of the opposite of surfaces of general type. We will completely classify all the log del Pezzo surfaces of rank 2 and Cartier index 3 with a unique singularity.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds