Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points

2019/09/15 by Koike, Takayuki · 1 citation
#14C20 (Secondary) #32J25 (Primary) #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.06827

Abstract

We investigate Hermitian metrics on the anti-canonical bundle of a rational surface obtained by blowing up the projective plane at nine points. For that purpose, we pose a modified variant of an argument made by Ueda on the complex analytic structure of a neighborhood of a subvariety by considering the deformation of the complex structure.

Cited by

• Pluripotential geometry on semi-positive effective divisors of numerical dimension one

Related

• Ueda theory for compact curves with nodes
• Toward a higher codimensional Ueda theory
• Product and anti-Hermitian structures on the tangent space
• Canonical singular hermitian metrics on relative canonical bundles
• Special Hermitian metrics