Geometry of quintics in \mathbb P³ and the Craighero-Gattazzo surface of general type

2019/06/23 by Kalyan Banerjee, Banerjee, Kalyan
Mathematics · #14C25 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1906.09617

openalex publication_date 2019/06/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper we study the question whether the tri-canonical system on the Craighero-Gattazzo surface is base point free and at which points does it separate tangent vectors. Also we study the non-rationality of the normalization of the quotient of a general curve (under a given involution) in the product linear system of cubics and quadrics on a singular quintic in \PR³ with four elliptic singularities.

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