Deligne-Lusztig curves as ray class fields

DOI10.1007/s002290050127zbMath0919.11076OpenAlexW2024688117MaRDI QIDQ1279852

Kristin E. Lauter

Publication date: 16 August 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/42036

zbMATH Keywords

function fieldfinite fieldlinear algebraic groupsoptimal curveray class fieldDeligne-Lusztig curvesRee curvesSuzuki curves

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Linear algebraic groups over finite fields (20G40) Class field theory (11R37)

Related Items (7)

Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ New maximal curves as ray class fields over Deligne-Lusztig curves ⋮ A note on certain maximal curves ⋮ On some Galois covers of the Suzuki and Ree curves ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve ⋮ A formula for constructing curves over finite fields with many rational points ⋮ Classification of all Galois subcovers of the Skabelund maximal curves

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