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<p>The Manin–Peyre conjecture is established for two split singular quintic del Pezzo surfaces with singularity types <b>A</b><sub>3</sub> and <b>A</b><sub>4</sub>. We use a general and different method, which can generalise to other situations, from Chambert-Loir and Tschinkel [Invent. Math., 2002, 148: 421–452].</p>

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The Manin–Peyre Conjecture for Two Quintic del Pezzo Surfaces with Singularity Types A3 and A4

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Xiaodong Zhao

摘要

The Manin–Peyre conjecture is established for two split singular quintic del Pezzo surfaces with singularity types A3 and A4. We use a general and different method, which can generalise to other situations, from Chambert-Loir and Tschinkel [Invent. Math., 2002, 148: 421–452].