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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.

168,695 papers · 148 categories

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7 results for “K-trivial”

Gordian distance and clasper surgery for linksmath.GT

Proves links can be simplified to trivial form in few changes, limiting Milnor's invariants.

problem Limits of Milnor's invariants in understanding unlinking number.

method Sequence of links, crossing changes, and geometric filtration.

result Crossing changes to

C_k

-trivial link grows quadratically with number of components.

linking number Milnor invariants unlinking number crossing changes finite type invariants

2026-05-04abs ↗pdf ↗

On log minimality of weak K-moduli compactifications of Calabi-Yau varietiesmath.AG

Log minimality proven for weak K-moduli compactifications of Calabi-Yau varieties.

problem Constructing weak K-moduli compactifications of Calabi-Yau varieties.

method Revisiting classical problem, proving log minimality of normalizations under conditions.

result Log minimality of weak K-moduli compactifications under certain conditions.

Calabi-Yau varieties weak K-moduli log minimality K-semistable K-trivial

2021-08-09abs ↗pdf ↗

Minimization of Arakelov K-energy for many casesmath.AG

Paper proves various types of varieties minimize a specific energy.

problem Minimizing a specific energy in various types of varieties.

method Analyzes various polarized varieties over

\overline{\mathbb{Q}}

result Various types of varieties minimize the Arakelov K-energy.

Arakelov K-energy varieties minimization polarized varieties K-trivial

2022-11-07abs ↗pdf ↗

A strong counterexample to the log canonical Beauville--Bogomolov decompositionmath.AG

Counterexample disproves log canonical Beauville--Bogomolov decomposition.

problem Disproving the log canonical Beauville--Bogomolov decomposition.

method Constructing a specific log canonical, K-trivial variety with non-birational fibers.

result Provides a counterexample to the Beauville--Bogomolov decomposition in the log canonical setting.

log canonical Beauville--Bogomolov decomposition counterexample K-trivial variety non-birational fibers

2024-07-24abs ↗pdf ↗

Boundedness of some fibered K-trivial varietiesmath.AG

The study shows boundedness of certain fibered varieties in algebraic geometry.

problem Bounding fibered varieties in algebraic geometry.

method Analyzing Calabi-Yau varieties and their fibrations by abelian or symplectic varieties.

result There are only finitely many deformation classes of certain fibered varieties.

Calabi-Yau varieties fibrations abelian varieties symplectic varieties birational boundedness

2025-07-01abs ↗pdf ↗

Nonvanishing results for Kähler varietiesmath.AG

Two types of nonvanishing results are presented for compact Kähler varieties.

problem Deriving geometric consequences from numerical information in Kähler geometry.

method Analyzing non-uniruled varieties and hyperkähler manifolds to establish nonvanishing results for adjoint and nef bundles.

result Strong abundance-type results are obtained in dimension 4.

Kähler varieties nonvanishing theorems birational geometry Euler-Poincaré characteristic adjoint bundles

2025-08-20abs ↗pdf ↗

Geometry of

K

-trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structuresmath.DG

Decomposes complex manifolds with trivial canonical bundle into homogeneous structures.

problem Decomposing complex manifolds with trivial canonical bundle into homogeneous structures.

method Using MMP and foliation theory, we prove a decomposition theorem and deduce properties of holomorphic geometric structures.

result Holomorphic geometric structures on

X

are locally homogeneous away from an analytic subset of complex codimension at least two.

complex manifolds canonical bundle MMP foliation theory holomorphic geometric structures

2023-06-29abs ↗pdf ↗