Division Algebras that Ramify only on a Plane Quartic Curve with Simply Connected Components
by Ford, T. J.
A central division algebra Λ over the field of rational functions in two variables with coefficients over an algebraically closed field ramifies along a divisor on P
2. If the ramification divisor of Λ is a quartic curve which is the union of simply connected curves, we show that Λ is a symbol algebra and satisfies the ‘index equals exponent’ equation.
DOI: 10.1023/B:ALGE.0000006494.31777.00
Print publication date: 12/1/2003
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