2010/04/01 by Ali Bajravani · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic Geometry and Number Theory #Botany #Genus #Geometric Analysis and Curvature Flows #Hypersurface #Lagrangian #Mathematics #Noether's theorem #Nonlinear Waves and Solitons #Pure mathematics #Simple (philosophy) #math.AG
paper · pdf · doi:10.1007/s12215-010-0009-z
published in Rendiconti del Circolo Matematico di Palermo Series 2 59(1), 127-135 (Springer Science+Business Media) · This paper consists of 9 pages
openalex publication_date 2010/04/01 · arxiv created 2010/07/24 · arxiv updated 2010/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we give a simple Torelli type theorem for curves of genus 6 and 8 by showing that these curves can be reconstructed from their Brill-Noether varieties. Among other results, it is shown that the focal variety of a general, canonical and nonhyperelliptic curve of genus 6 is a hypersurface.