Pulling subdivisions of cones and blowups of monomial ideals on affine toric varieties

Howard M Thompson

Pulling subdivisions of cones and blowups of monomial ideals on affine toric varieties

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arxiv 1612.09206 v1 pith:J7FKFCZ4 submitted 2016-12-29 math.AG

Howard M Thompson This is my paper · ORCID

classification math.AG

keywords givenidealtoricvarietiesaffineblowupblowupscoherent

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This short note solves the following problem: Given a map of normal toric varieties corresponding to a coherent subdivision of a cone, find an ideal such that the given map is the blowup of that ideal.

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Mirrors to toric degenerations via intrinsic mirror symmetry
math.AG 2026-08 conditional novelty 8.0 of 10

For special toric degenerations of K3 surfaces, the intrinsic mirror and the universal toric degeneration mirror coincide after restricting to the minimal relative Gross-Siebert locus and basechanging by the polarization.

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