A note on a smooth projective surface with Picard number 2
Sichen Li
TL;DR
This paper characterizes the integral Zariski decomposition on smooth projective surfaces with Picard number 2, addressing a specific problem in algebraic geometry related to divisor decompositions.
Contribution
It provides a partial solution to a problem concerning the structure of Zariski decompositions on surfaces with Picard number 2.
Findings
Characterization of integral Zariski decomposition in the specified setting
Partial resolution of a problem posed by Harbourne, Pokora, and Tutaj-Gasinska
Insights into divisor decomposition on algebraic surfaces
Abstract
We characterize the integral Zariski decomposition of a smooth projective surface with Picard number 2 to partially solve a problem of B. Harbourne, P. Pokora, and H. Tutaj-Gasinska [Electron. Res. Announc. Math. Sci. 22 (2015), 103--108].
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