SINGULAR CURVES WITH LINE BUNDLES L DEFINED OVER ${\mathbb F}_q$ AND WITH H0(L) = H1(L) = 0

DOI10.1142/S179355711350023XzbMath1279.14034OpenAlexW1924592151MaRDI QIDQ2853424

Edoardo Ballico

Publication date: 21 October 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179355711350023x

zbMATH Keywords

line bundlesingular curveseminormal singularity

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Singularities of curves, local rings (14H20) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• A construction of generalized Jacobian varieties by group extensions
• On the tensor rank of the multiplication in the finite fields
• Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\)
• On the existence of dimension zero divisors in algebraic function fields defined over F_q

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