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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.

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4 results for “T-singularities”

Optimal bounds for many T-singularities in stable surfacesmath.AG

Optimizes bounds for multiple T-singularities on surfaces.

problem Bounding T-singularities on non-rational projective surfaces with many singularities.

method Analyzes combinatorial configurations and classifies them to find optimal bounds.

result Classifies all combinatorial configurations leading to high bounds, proving their non-existence gives optimal bounds.

T-singularities projective surfaces combinatorial configurations optimal bounds non-rational surfaces

2023-08-10abs ↗pdf ↗

Classification of Horikawa surfaces with T-singularitiesmath.AG

Classifies surfaces with T-singularities and ample canonical class.

problem Classifying surfaces with T-singularities and specific properties.

method Using KSBA moduli space and techniques for surfaces with T-singularities.

result Identifies surfaces with only T-singularities in the KSBA space and proves non-smoothability conditions.

Horikawa surfaces T-singularities KSBA moduli space ample canonical class deformation types

2024-10-03abs ↗pdf ↗

The t-singular homology of orbifoldsmath.GT

For an orbifold M we define a homology group, called t-singular homology group t-H_q(M), which depends not only on the topological structure of the underlying space of M, but also on the orbifold structure of M. We prove that it is a b-homotopy invariant of orbifolds. If M is a manifold, t-H_q(M) coincides with the usu…

2001-12-10abs ↗pdf ↗

Wahl singularities in degenerations of del Pezzo surfacesmath.AG

Characterizes Wahl singularities in del Pezzo surface degenerations.

problem Classifying Wahl singularities in degenerations of del Pezzo surfaces.

method Introducing del Pezzo Wahl chains with markings, proving degenerations to toric surfaces, establishing correspondences, and using Hacking's exceptional collections.

result Established a one-to-one correspondence between marked del Pezzo surfaces and fake weighted projective planes.

Wahl singularities del Pezzo surfaces degenerations toric surfaces Markov equation

2025-04-28abs ↗pdf ↗