Four-dimensional quadratic forms over \mathbb C( (t) )(X)

2021/01/06 by Gupta, Parul
#11E04 #12E30 #12J10 #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2101.01903

Abstract

For quadratic forms in 4 variables defined over the rational function field in one variable over \mathbb C( (t) ), the validity of the local-global principle for isotropy with respect to different sets of discrete valuations is examined.

Related

• Two refined notions in quadratic form theory
• Universal quadratic forms over semi-global fields
• Counterexamples to the local-global principle associated with Swinnerton-Dyer's cubic form
• Square-reflexive polynomials
• The density of integral quadratic forms having a k-dimensional totally isotropic subspace