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January 17, 2026Functional Analysis and Its Applications1 citationsOpen Access

On the Birational Geometry of Sextic Threefold Hypersurfaces in P (1, 1, 2, 2, 3)

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YPYuri Prokhorov

Key Points

  • The aim is to explore the birational properties of sextic hypersurfaces in the weighted projective space.
  • Analyzed the structure of sextic hypersurfaces within the context of birational geometry.
  • Focused on quasi-smooth variants of these hypersurfaces.
  • Applied theoretical techniques in algebraic geometry to derive conclusions.
  • Proved that any quasi-smooth hypersurface of degree 6 in the specified space is not rational.

Abstract

Abstract We investigate birational properties of hypersurfaces of degree 6 in the weighted projective space P (1, 1, 2, 2, 3). In particular, we prove that any such quasi-smooth hypersurface is not rational.

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Cite This Study

Yuri Prokhorov (2025) studied this question.

synapsesocial.com/papers/696b25f3d2a12237a934943ehttps://doi.org/10.1134/s1234567825040068
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