Some results on fake quadrics

2023/06/16 by Jianqiang Yang, Yang Jian-qiang, Yang, Jianqiang
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.2307.11175

openalex publication_date 2023/06/16 · openalex created_date 2023/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain several results on fake quadrics. First, we describe the cones \(Nef(S)\) and \(Eff(S)\), and then provide a criterion for determining whether a divisor on a fake quadric is ample or effective, respectively. Second, we show that no fake quadric can be embedded into \mathbb P⁴. Finally, we establish the bounded cohomology property for fake quadrics.

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