Birational isomorphisms of four-dimensional quintics

DOI10.1007/BF01389417zbMath0613.14011OpenAlexW2085193850MaRDI QIDQ1088740

Aleksandr V. Pukhlikov

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143420

zbMATH Keywords

birational isomorphism between smooth hypersurfacesnon-rationality of the smooth quintics

Mathematics Subject Classification ID

(4)-folds (14J35) Rational and birational maps (14E05)

Related Items

Sextic Double Solids ⋮ Birational geometry of higher-dimensional Fano varieties ⋮ Higher index Fano varieties with finitely many birational automorphisms ⋮ Birational automorphisms of multidimensional algebraic manifolds ⋮ Multiplicities and log canonical threshold ⋮ Singularities of algebraic subvarieties and problems of birational geometry ⋮ Fano Hypersurfaces and their Birational Geometry ⋮ Integral Hodge Classes, Decompositions of the Diagonal, and Rationality Questions ⋮ K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces ⋮ Noetherian mappings ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Birationally rigid hypersurfaces ⋮ On the self-intersection of a movable linear system ⋮ The Rigidity Theorem of Fano–Segre–Iskovskikh–Manin–Pukhlikov–Corti–Cheltsov–de Fernex–Ein–Mustaţă–Zhuang ⋮ Cylinders in Fano varieties ⋮ Birational rigidity of complete intersections ⋮ A sharp lower bound for the log canonical threshold ⋮ Birational superrigidity and K-stability of projectively normal Fano manifolds of index one ⋮ Stably irrational hypersurfaces of small slopes ⋮ Algebraic hypersurfaces ⋮ Birationally rigid complete intersections of quadrics and cubics

Cites Work

• On the automorphisms of hypersurfaces
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
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