Research
On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

Trend · papers per month

count% of corpus
138275413550 · Jun 202019922001200920172026
← all fields·2 papers on “complex projective plane” in Geometric Topology · 1 week
Degenerations of the complex projective plane with only rational singularitiesmath.AG

Classifies degenerations of complex projective plane with rational singularities.

problem Classifying singularities of complex projective plane.
method Assuming Wahl's conjecture, classifies degenerations using rational homology disk smoothing.
result Classifies surfaces with rational singularities, including new degenerations with non-log canonical singularities.
complex projective planesingularitiesrational homology diskMarkov equationnon-log canonical singularities
2026-07-21abs ↗pdf ↗
The complex projective plane as a ball quotientmath.GT

This paper classifies ball quotients of the complex projective plane.

problem Understanding the structure of the complex projective plane as a ball quotient.
method Analyzing the branch locus as a line arrangement and smooth normal-crossing curves.
result The orbifold structure of (P2,D)(\mathbb{P}^2,D) is isomorphic to either the Deligne-Mostow example or a certain degree 9 cover.
ball quotientcomplex projective planeDeligne-Mostowbranch locusorbifold
2026-07-21abs ↗pdf ↗