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Toric log del Pezzo surfaces with one singularity. (English) Zbl 1455.14098

Summary: This paper focuses on the classification (up to isomorphism) of all toric log Del Pezzo surfaces with exactly one singularity, and on the description of how they are embedded as intersections of finitely many quadrics into suitable projective spaces.

MSC:

14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14Q10 Computational aspects of algebraic surfaces
52B20 Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)

Software:

Magma

References:

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