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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quasismooth hypersurfaces in toric varieties
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by Michela Artebani, Paola Comparin and Robin Guilbot PDF
Proc. Amer. Math. Soc. 147 (2019), 4565-4579 Request permission

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.
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Additional 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