Log Fano structures and Cox rings of blow-ups of products of projective spaces
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- by John Lesieutre and Jinhyung Park PDF
- Proc. Amer. Math. Soc. 145 (2017), 4201-4209 Request permission
Abstract:
The aim of this paper is twofold. First, we determine which blow-ups of products of projective spaces at general points are varieties of Fano type, and give boundary divisors making these spaces log Fano pairs. Second, we describe generators of the Cox rings of some cases.References
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Additional Information
- John Lesieutre
- Affiliation: Department of Mathematics, University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607
- Email: jdl@uic.edu
- Jinhyung Park
- Affiliation: School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemungu, Seoul 02455, Republic of Korea
- Email: parkjh13@kias.re.kr
- Received by editor(s): May 4, 2016
- Received by editor(s) in revised form: November 3, 2016
- Published electronically: April 7, 2017
- Communicated by: Lev Borisov
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4201-4209
- MSC (2010): Primary 14J45; Secondary 14E30, 14C20
- DOI: https://doi.org/10.1090/proc/13610
- MathSciNet review: 3690606