On non-existence of full exceptional collections on some relative flags
Algebraic Geometry
2019-12-17 v2
Abstract
In this paper we show that certain relative flags cannot have full exceptional collections. We also prove that some of these flags are categorical representable in dimension zero if and only if they admit a full exceptional collection. As a consequence, these flags are categorical representable in dimension zero if and only if they have -rational points if and only if they are -rational. Moreover, we calculate the categorical representability dimension for the flags under consideration.
Keywords
Cite
@article{arxiv.1607.04834,
title = {On non-existence of full exceptional collections on some relative flags},
author = {Saša Novaković},
journal= {arXiv preprint arXiv:1607.04834},
year = {2019}
}
Comments
10 pages, revised version with added results, comments are welcome! arXiv admin note: text overlap with arXiv:1607.01043