Abstract
This article is the first in a series of two in which we study the vanishing cycles of curves in toric surfaces. We give a list of possible obstructions to contract vanishing cycles within a given complete linear system. Using tropical means, we show that any non-separating simple closed curve is a vanishing cycle whenever none of the listed obstructions appears.
Subject
Algebra and Number Theory
Reference39 articles.
1. On the topological structure of non-singular algebraic surfaces in CP3
2. Amoebas, Monge–Ampère measures, and triangulations of the Newton polytope;Passare;Duke Math. J.,2004
3. [Oga07] S. Ogata , Projective normality of nonsingular toric varieties of dimension three, Preprint (2007), arXiv:0712.0444.
4. [Ola17] J. A. Olarte , The Moduli space of Harnack curves in toric surfaces, Preprint (2017),arXiv:1706.02399.
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