On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$

Fuente: arXiv
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Autore principale: Prokhorov, Yuri
Natura: Preprint
Pubblicazione: 2024
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author Prokhorov, Yuri
author_facet Prokhorov, Yuri
contents We investigate birational properties of hypersurfaces of degree $6$ in the weighted projective space $\mathbf{P}(1,1,2,2,3)$. In particular, we prove that any such quasi-smooth hypersurface is not rational.
format Preprint
id arxiv_https___arxiv_org_abs_2412_05120
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$
Prokhorov, Yuri
Algebraic Geometry
14E08, 14E30, 14J45, 14J30
We investigate birational properties of hypersurfaces of degree $6$ in the weighted projective space $\mathbf{P}(1,1,2,2,3)$. In particular, we prove that any such quasi-smooth hypersurface is not rational.
title On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$
topic Algebraic Geometry
14E08, 14E30, 14J45, 14J30
url https://arxiv.org/abs/2412.05120