On the Severi type inequalities for irregular surfaces

2015/04/24 by Xin Lü, Kang Zuo, Lu, Xin +1
Mathematics · #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1504.06569

openalex publication_date 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Let X be a minimal surface of general type and maximal Albanese dimension with irregularity q≥ 2. We show that K_X²≥ 4χ(\mathcal O_X)+4(q-2) if K_X²

Citations

• On the slope conjecture of Barja and Stoppino for fibred surfaces

Related

• Severi type inequalities for irregular surfaces with ample canonical class
• Surfaces close to the Severi lines
• An orbifold approach to Severi Inequality
• Surfaces close to the Severi lines in positive characteristic
• Surfaces of Albanese general type and the Severi Conjecture