2111.09134
Degree of logarithmic foliations of type (1,1,1)
Mariano Chehebar
correcthigh confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper proves deg L(1,1,1) = 80 via a three-step blow-up resolution and a pullback/intersection calculation where the rational map is defined by sections of O_X(1,1,1,1), and the map is generically 6-to-1; the candidate reproduces the overall strategy and the final number but incorrectly identifies the defining linear system as O_X(2,2,2;1), a substantive error that would change the pullback class before exceptional corrections.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The work cleanly resolves the rational parametrization by three smooth blow-ups and executes a careful intersection-theoretic computation to obtain deg L(1,1,1)=80. The strategy is standard but technically involved; the exposition is clear with a helpful diagram, and code is provided for the computational step. Minor additions clarifying certain class computations would improve readability.