Hodge 理论中的无穷远伪凸性:一个余维一例子
代数几何
2023-02-10 v1
摘要
将 Satake--Baily--Borel 紧化推广到任意周期映射已被归结为在某些“无穷远邻域”上的特定扩张问题。此类扩张问题要求该邻域是伪凸的。本注记旨在建立一个相对简单但非平凡的例子中所需的伪凸性:权为二的 Hodge 结构周期映射的余维一退化,其第一 Hodge 数 等于 2。
引用
@article{arxiv.2302.04806,
title = {Pseudoconvexity at infinity in Hodge theory: a codimension one example},
author = {Colleen Robles},
journal= {arXiv preprint arXiv:2302.04806},
year = {2023}
}
备注
This is Part 2 of a series on "Pseudoconvexity at infinity in Hodge theory". Part 1, "Extension of Hodge norms at infinity", has also be posted. arXiv admin note: text overlap with arXiv:2302.04014