Surfaces with Prym-canonical hyperplane sections
Martina Anelli
TL;DR
This paper investigates surfaces with Prym-canonical hyperplane sections, exploring their properties, singularities, and providing new examples to expand understanding of their geometric structure.
Contribution
It explicitly describes properties of these surfaces, analyzes their singularities, and constructs new examples, advancing the classification and understanding of Prym-canonical surfaces.
Findings
Properties of surfaces with Prym-canonical hyperplane sections clarified
Singularities and their geometric genus analyzed
New examples of such surfaces constructed
Abstract
We explicit some general properties regarding surfaces with Prym-canonical hyperplane sections and the geometric genus of their possible singularities. Moreover, we construct new examples of this type of surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Point processes and geometric inequalities · Geometric Analysis and Curvature Flows