Varieties with two smooth blow up structures

2024/09/10 by Supravat Sarkar, Sarkar, Supravat
Agricultural and Biological Sciences · #Plant Surface Properties and Treatments

paper · pdf · doi:10.48550/arxiv.2409.10560

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.

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