Polyhedral Divisors of Affine Trinomial Hypersurfaces
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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.
Keywordsaffine variety algebraic torus trinomial equation graded algebra polyhedral divisor
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The author expresses sincere gratitude to his scientific supervisor I. V. Arzhantsev for posing the problem, fruitful consultations, and developing the author’s interest in algebraic geometry. The author is also grateful to Yu. G. Prokhorov for valuable remarks.