概形与层的导出模空间
代数几何
2022-11-23 v7 代数拓扑
摘要
我们描述了涉及概形和拟凝聚层的一系列问题的导出模函子，并给出了它们可由导出几何n-层表示的上调条件。由导出几何1-层表示的问题实例包括极化射影簇的导出模空间、向量丛的导出模空间以及阿贝尔簇的导出模空间。
引用
@article{arxiv.1011.2742,
title = {Derived moduli of schemes and sheaves},
author = {J. P. Pridham},
journal= {arXiv preprint arXiv:1011.2742},
year = {2022}
}
备注
33 pages; v2 polarised abelian varieties corrected (Remark 3.46); v3 final version, to appear in JKT; v4 running typo (local -> complete local) corrected; v5 refs updated; v6 Prop 2.32 added, with consequent simplification of hypersheaf conditions in representability theorems; v7 added missing hypothesis for moduli of complexes