Varieties with two smooth blow up structures
Algebraic Geometry
2026-04-28 v2
Abstract
We classify smooth projective varieties of Picard rank 2 which has two structures of blow-up of projective space along smooth subvarieties of different dimensions. This gives a characterization of the so called quadro-cubic Cremona transformation.
Keywords
Cite
@article{arxiv.2409.10560,
title = {Varieties with two smooth blow up structures},
author = {Supravat Sarkar},
journal= {arXiv preprint arXiv:2409.10560},
year = {2026}
}