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Log Fano blowups of mixed products of projective spaces and their effective cones

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journal contribution
posted on 19.05.2022, 16:14 by Tim GrangeTim Grange, Elisa Postinghel, Artie PrendergastArtie Prendergast
We compute the cones of effective divisors on blowups of P1 × P2 and P1 × P3 in up to 6 points. We also show that all these varieties are log Fano, giving a conceptual explanation for the fact that all the cones we compute are rational polyhedral.

Funding

Classifying algebraic varieties via Newton-Okounkov bodies

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Revista Matemática Complutense

Publisher

Springer

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 International Licence (CC BY). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

08/03/2022

Publication date

2022-05-18

Copyright date

2022

ISSN

1139-1138

eISSN

1988-2807

Language

en

Depositor

Dr Artie Prendergast. Deposit date: 9 March 2022