Del Pezzo surfaces over finite fields and their Frobenius traces

DOI10.1017/S0305004118000166zbMath1442.14087arXiv1606.00300OpenAlexW3105639668MaRDI QIDQ5225808

Barinder S. Banwait, Francesc Fité, Daniel Loughran

Publication date: 29 July 2019

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00300

zbMATH Keywords

finite fieldDel Pezzo surfaceFrobenius action

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Finite ground fields in algebraic geometry (14G15)

Related Items

Planar arcs ⋮ Classification of singular del Pezzo surfaces over finite fields ⋮ Cohomology of moduli spaces of Del Pezzo surfaces ⋮ Arithmetic and topology of classical structures associated with plane quartics ⋮ Minimal cubic surfaces over finite fields ⋮ Arithmetic statistics on cubic surfaces ⋮ Potentially Stably Rational Del Pezzo Surfaces over Nonclosed Fields ⋮ Anticanonical codes from del Pezzo surfaces with Picard rank one ⋮ Del Pezzo surfaces over finite fields ⋮ Stably rational surfaces over a quasi-finite field

Uses Software

• Magma

Cites Work

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