Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CONICS IN QUINTIC DEL PEZZO VARIETIES

  • Kiryong Chung (Department of Mathematics Education Kyungpook National University) ;
  • Sanghyeon Lee (Shanghai Center for Mathematical Sciences)
  • Received : 2023.05.16
  • Accepted : 2023.11.27
  • Published : 2024.03.01
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Abstract

The smooth quintic del Pezzo variety Y is well-known to be obtained as a linear sections of the Grassmannian variety Gr(2, 5) under the Plücker embedding into ℙ9. Through a local computation, we show the Hilbert scheme of conics in Y for dimY ≥ 3 can be obtained from a certain Grassmannian bundle by a single blowing-up/down transformation.

Keywords

References

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