Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields

DOI10.2140/pjm.2022.319.259OpenAlexW4295222364WikidataQ114045233 ScholiaQ114045233MaRDI QIDQ2093206

Van Thinh Dao

Publication date: 7 November 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2022.319.259

zbMATH Keywords

hyperelliptic curveJacobianfunction field2-Selmer group

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (1)

2-Selmer groups of even hyperelliptic curves over function fields

Cites Work

• Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
• Involutions of reductive Lie algebras in positive characteristic
• Squarefree values of multivariable polynomials
• Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
• Average size of 2-Selmer groups of elliptic curves over function fields
• Spécialisation du foncteur de Picard
• Rational points on hyperelliptic curves having a marked non-Weierstrass point
• Weil's Conjecture for Function Fields
• Maximal linear spaces contained in the base loci of pencils of quadrics
• Harder–Narasimhan reduction of a principal bundle
• $2$-Selmer groups of hyperelliptic curves with marked points
• The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point
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