Analyticity of the closures of some Hodge theoretic subspaces

作者：Kato Kazuya^*; Nakayama Chikara; Usui Sampei

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2011, 87(9): 167-172.

DOI：10.3792/pjaa.87.167

• Hodge theory
• log geometry
• intermediate Jacobian
• Neron model
• admissible normal function
• zero locus

In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace defined by a family of variations of mixed Hodge structures, which includes the analyticity of the zero loci of degenerating normal functions. For the proof, we use a moduli of the valuative version of log mixed Hodge structures.

• 出版日期2011-11