Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves

2023/04/16 by Bannai, Shinzo, Tokunaga, Hiro-o, Yorisaki, Emiko
#14H27 #14H50 #14H52 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.07717

Abstract

We define ramified and split models of elliptic surfaces and study the relation between the two models. We focus on certain rational elliptic surfaces from these points of views and as an application, we give an observation on bitantgent lines of an irreducible quartic with at most nodes.

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• The geometry of three sections on certain rational elliptic surfaces and Mumford representations
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