Rational maps between quasilinear hypersurfaces

DOI10.1112/S0010437X12000632zbMath1315.11025arXiv1111.3869OpenAlexW2314835067MaRDI QIDQ4914606

Stephen Scully

Publication date: 15 April 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3869

zbMATH Keywords

birational geometryrational mapnorm degreenorm fieldquasi-Pfister formquasilinear formquadratic Zariski problemrulednessquasilinear hypersurface

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over general fields (11E04) Rational and birational maps (14E05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC

Cites Work

• Integrality of the Chern character in small codimension
• Degree formula for connective \(K\)-theory
• \(p\)-adic étale cohomology
• Essential dimension of quadrics
• On the first Witt index of quadratic forms
• Motivic equivalence of quadratic forms. II
• Isotropy of quadratic forms over the function field of a quadric
• Isotropy of quadratic forms over the function field of a quadric in characteristic 2
• On fibrations whose geometric fibers are nonreduced
• Birational geometry of quadrics in characteristic 2
• The automorphism group of an affine quadric
• Quadratic forms and Pfister neighbors in characteristic 2
• Birational geometry of quadrics
• Embeddability of quadratic forms in Pfister forms

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