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<p>In this paper we prove some general results on secant defective varieties. Then we focus on the 4-dimensional case and we give the full classification of secant defective 4-folds. This paper has been inspired by classical work by G. Scorza.</p>

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On secant defective varieties, in particular of dimension 4

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月8日

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  • Luca Chiantini,
  • Ciro Ciliberto,
  • Francesco Russo

摘要

In this paper we prove some general results on secant defective varieties. Then we focus on the 4-dimensional case and we give the full classification of secant defective 4-folds. This paper has been inspired by classical work by G. Scorza.