Brauer-Manin obstruction for Erdős-Straus surfaces

2019/08/31 by Martin Bright, Daniel Loughran · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Calculus (dental) #Commutative Algebra and Its Applications #Conjecture #Geometric and Algebraic Topology #Hasse principle #Surface (topology) #math.AG #math.NT #msc:11D25 #msc:11D68 #msc:14F22 #msc:14G05

paper · pdf · doi:10.1112/blms.12374

17 pages

openalex created_date 2019/08/13 · arxiv created 2020/05/12 · openalex publication_date 2020/07/07 · arxiv updated 2020/07/15 · openalex updated_date 2026/08/05

Abstract

We study the failure of the integral Hasse principle and strong approximation for the Erdős-Straus conjecture using the Brauer-Manin obstruction.

Citations

• Brauer-Manin obstruction for Markoff surfaces
• Strong approximation for a toric variety
• COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS

Cited by

• Erdős–Straus conjecture [wikipedia]

Related

• Integral Hasse principle and strong approximation for Markoff surfaces
• Effectivity of Brauer-Manin obstructions on surfaces
• Brauer-Manin obstruction for Markoff surfaces
• Non-invariance of the Brauer-Manin obstruction for surfaces
• Order 5 Brauer-Manin obstructions to the integral Hasse principle on log K3 surfaces