Forms representing forms and linear spaces on hypersurfaces

Julia Brandes

doi:10.1112/plms/pdt044

Forms representing forms and linear spaces on hypersurfaces

Julia Brandes^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

15 Citations (Scopus)

Abstract

For a given set of forms psi((1)), aEuro broken vertical bar, psi((R))aa"currency sign[t(1), aEuro broken vertical bar, t(m)] of degree d we prove a Hasse principle for representations of the shape by general forms F-(1), aEuro broken vertical bar, F((R))aa"currency sign[x(1), aEuro broken vertical bar, x(s)] of the same degree, provided that sa parts per thousand

Original language	English
Pages (from-to)	809-835
Number of pages	27
Journal	Proceedings of the London Mathematical Society
Volume	108
DOIs	https://doi.org/10.1112/plms/pdt044
Publication status	Published - Apr 2014

Keywords

CUBIC FORMS
QUADRATIC-FORMS
VARIABLES
EQUATIONS
SYSTEMS
PAIRS
SUMS

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abstract = "For a given set of forms psi((1)), aEuro broken vertical bar, psi((R))aa{"}currency sign[t(1), aEuro broken vertical bar, t(m)] of degree d we prove a Hasse principle for representations of the shape by general forms F-(1), aEuro broken vertical bar, F((R))aa{"}currency sign[x(1), aEuro broken vertical bar, x(s)] of the same degree, provided that sa parts per thousand",

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author = "Julia Brandes",

year = "2014",

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language = "English",

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AB - For a given set of forms psi((1)), aEuro broken vertical bar, psi((R))aa"currency sign[t(1), aEuro broken vertical bar, t(m)] of degree d we prove a Hasse principle for representations of the shape by general forms F-(1), aEuro broken vertical bar, F((R))aa"currency sign[x(1), aEuro broken vertical bar, x(s)] of the same degree, provided that sa parts per thousand

KW - CUBIC FORMS

KW - QUADRATIC-FORMS

KW - VARIABLES

KW - EQUATIONS

KW - SYSTEMS

KW - PAIRS

KW - SUMS

U2 - 10.1112/plms/pdt044

DO - 10.1112/plms/pdt044

M3 - Article (Academic Journal)

SN - 0024-6115

VL - 108

SP - 809

EP - 835

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

ER -

Forms representing forms and linear spaces on hypersurfaces

Abstract

Keywords

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