The arithmetic of Prym varieties in genus 3

DOI10.1112/S0010437X07003314zbMath1166.11022arXivmath/0408069MaRDI QIDQ5303018

Nils Bruin

Publication date: 15 January 2009

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

Full work available at URL: https://arxiv.org/abs/math/0408069

zbMATH Keywords

rational points on curvesPrym varietiesBrauer-ManinChabauty methodscovering techniquesmooth plane quartics

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items

ON THE NUMBER OF RATIONAL POINTS ON PRYM VARIETIES OVER FINITE FIELDS, Equivariant birational types and Burnside volume, Decomposing Jacobians Via Galois covers, Composite images of Galois for elliptic curves over $\mathbf {Q}$ and entanglement fields, Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois, Prym varieties of genus four curves, Gluing curves of genus 1 and 2 along their 2-torsion

Uses Software

• Magma