Measures of association between algebraic varieties, II: self-correspondences

2023/02/27 by Robert Lazarsfeld, Olivier Martin
Mathematics · Computer Science · #math.AG

paper · pdf · doi:10.46298/epiga.2023.11019

Abstract

Following a suggestion of Jordan Ellenberg, we study measures of complexity for self-correspondences of some classes of varieties. We also answer a question of Rhyd concerning curves sitting in the square of a very general hyperelliptic curve.

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• Measures of association between algebraic varieties
• Stabilized measures of association: comparing the birational geometry of varieties having different dimensions
• Cycle theory of relative correspondences
• A Quadratically Enriched Correspondence Theorem
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