Quasismooth hypersurfaces in toric varieties
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- by Michela Artebani, Paola Comparin and Robin Guilbot
- Proc. Amer. Math. Soc. 147 (2019), 4565-4579
- DOI: https://doi.org/10.1090/proc/14515
- Published electronically: August 7, 2019
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Abstract:
We provide a combinatorial characterization of monomial linear systems on toric varieties whose general member is quasismooth. This is given both in terms of the Newton polytope and in terms of the matrix of exponents of a monomial basis.References
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Bibliographic Information
- Michela Artebani
- Affiliation: Departamento de Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
- MR Author ID: 744997
- Email: martebani@udec.cl
- Paola Comparin
- Affiliation: Departamento de Matemática y Estadística, Universidad de La Frontera, Av. Francisco Salazar 1145, Temuco, Chile
- MR Author ID: 1063022
- Email: paola.comparin@ufrontera.cl
- Robin Guilbot
- Affiliation: Faculty of Mathematics, Computer Science and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland
- MR Author ID: 1168646
- Email: rguilbot@math.cnrs.fr
- Received by editor(s): March 1, 2018
- Received by editor(s) in revised form: December 10, 2018
- Published electronically: August 7, 2019
- Additional Notes: The first author was partially supported by Proyecto Fondecyt Regular N. 1130572 and Proyecto Anillo ACT 1415 PIA Conicyt.
The second author was partially supported by Proyecto Fondecyt Postdoctorado N. 3150015 and Proyecto Anillo ACT 1415 PIA Conicyt.
The third author was supported by the NCN project 2013/08/A/ST1/00804. - Communicated by: Alexander Braverman
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 4565-4579
- MSC (2010): Primary 14M25, 14J32, 14J17, 32S25
- DOI: https://doi.org/10.1090/proc/14515
- MathSciNet review: 4011494