Division Algebras that Ramify only on a Plane Quartic Curve with Simply Connected Components

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作者
T. J. Ford
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[1] Florida Atlantic University,Department of Mathematics
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Brauer group; division algebra;
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摘要
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 P2. 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.
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页码:501 / 514
页数:13
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