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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 4, Pages 787–800 (Mi smj3115)

This article is cited in 2 papers

Polyhedral divisors of affine trinomial hypersurfaces

O. K. Kruglov

Moscow State University, Moscow, Russia

Abstract: We find the general form of the polyhedral divisors corresponding to the natural torus action of complexity 1 on affine trinomial hypersurfaces. Some explicit computations of the divisors for the particular classes of the hypersurfaces are given.

Keywords: affine variety, algebraic torus, trinomial equation, graded algebra, polyhedral divisor.

UDC: 512.718

Received: 09.08.2018
Revised: 09.11.2018
Accepted: 19.12.2018

DOI: 10.33048/smzh.2019.60.407


 English version:
Siberian Mathematical Journal, 2019, 60:4, 613–623

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© Steklov Math. Inst. of RAS, 2026