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An invitation to toric degenerations

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arxiv 0808.2749 v2 pith:EE4CC3FT submitted 2008-08-20 math.AG math.SG

An invitation to toric degenerations

classification math.AG math.SG
keywords geometryideasaffinearxivauthorsbasiccomplexcomplicated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This is an expository paper which explores the ideas of the authors' paper "From Affine Geometry to Complex Geometry", arXiv:0709.2290. We explain the basic ideas of the latter paper by going through a large number of concrete, increasingly complicated examples.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

    math.AG 2026-04 unverdicted novelty 6.0

    The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.