Log intermediate Jacobians
Kazuya Kato, Chikara Nakayama, Sampei Usui
TL;DR
This paper explores how intermediate Jacobians degenerate using log geometry, extending their family over punctured discs to a comprehensive log intermediate Jacobian, enhancing understanding of their behavior in degenerations.
Contribution
It introduces the concept of log intermediate Jacobians, extending classical families over punctured discs to include degenerations using log geometry.
Findings
Extended the family of intermediate Jacobians to a log setting.
Provided a framework for analyzing degenerations of Jacobians.
Enhanced understanding of degenerations in complex geometry.
Abstract
We study the degenerations of intermediate Jacobians by means of log geometry. We extend the family of intermediate Jacobians over a punctured disc to a "log intermediate Jacobian" over a disc.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry