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Dicritical divisors and hypercurvettes

math.AG · 2025-05-30 · accept · novelty 7.0

For any modification of a smooth variety by blow-ups at a point, there is a rational function whose prescribed exceptional components are exactly the dicritical ones with prescribed degrees.

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  • Dicritical divisors and hypercurvettes math.AG · 2025-05-30 · accept · none · ref 4

    For any modification of a smooth variety by blow-ups at a point, there is a rational function whose prescribed exceptional components are exactly the dicritical ones with prescribed degrees.