Factorial threefold hypersurfaces-Reference-Cited by-同舟云学术

Factorial threefold hypersurfaces

Published:2009-06-17 Issue:4 Volume:19 Page:781-791
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Cheltsov Ivan

Abstract

Let X X be a hypersurface in P 4 \mathbb {P}^{4} of degree d d that has at worst isolated ordinary double points. We prove that X X is factorial in the case when X X has at most ( d − 1 ) 2 − 1 (d-1)^{2}-1 singular points.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference15 articles.

1. Anelli con unica decomponibilità in fattori primi ed un problema di intersezioni complete;Andreotti, Aldo;Monatsh. Math.,1957

2. On the spannedness and very ampleness of certain line bundles on the blow-ups of 𝑃²_{𝐶} and 𝐹ᵣ;Bese, Ekin M.;Math. Ann.,1983

3. On factoriality of nodal threefolds;Cheltsov, Ivan;J. Algebraic Geom.,2005

4. Nonrational nodal quartic threefolds;Cheltsov, Ivan;Pacific J. Math.,2006

5. Points in projective spaces and applications;Cheltsov, Ivan;J. Differential Geom.,2009

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complex Algebraic Threefolds;CAM ST AD M;2023-09-29

2. High-pliability Fano hypersurfaces;Rendiconti del Circolo Matematico di Palermo Series 2;2023-01-19

3. FACTORIAL NODAL COMPLETE INTERSECTION 3-FOLDS IN P⁵;J KOREAN SOC MATH ED;2022

4. SOME IRRATIONAL QUARTIC THREEFOLDS;B KOREAN MATH SOC;2022

5. Maximal families of nodal varieties with defect;Mathematische Zeitschrift;2021-07-30