Toric平坦族、赋值及其在射影化Toric向量丛中的应用
代数几何
2022-10-12 v3
摘要
利用赋值到分段线性函数半环的概念，我们通过扇之间特定的分段线性映射，给出了环面等变平坦族在Toric簇基上有限型的分类。作为推论，我们导出了以热带化线性空间表述的Toric向量丛的分类。我们使用这些工具给出了射影化Toric向量丛的Mori dream space性质的刻画。
引用
@article{arxiv.1907.00543,
title = {Toric flat families, valuations, and applications to projectivized toric vector bundles},
author = {Kiumars Kaveh and Christopher Manon},
journal= {arXiv preprint arXiv:1907.00543},
year = {2022}
}
备注
Title changed to emphasize applications to the study of projectivized toric vector bundles. Revised in many places and exposition improved. Some material rearranged and new sections introduced. References updated and a list of notation added. 44 pages