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<p>Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.</p>

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Group actions and irrationality in surface families

  • 期刊论文

  • 发表日期：

    2025年10月18日

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  • Nathan Chen,
  • Louis Esser

摘要

Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.