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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.

168,786 papers · 148 categories

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0111 · Jul 201219922001200920172026
3 results for “Kodaira-Spencer-Kuranishi”
Deformations of Dolbeault cohomology classesmath.DG

The paper develops a deformation theory for Dolbeault cohomology classes.

problem Understanding the variations of Dolbeault cohomology classes.
method Established a deformation theory using the power series method and proved the extension equation.
result Proved the existence and unobstructedness of deformations under certain conditions.
Dolbeault cohomologydeformation theoryholomorphic tensor bundlesMaurer-Cartan equationKodaira-Spencer-Kuranishi
2019-09-09abs ↗pdf ↗
Quasi-isometry and deformations of Calabi-Yau manifoldsmath.DG

We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of Kähler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami differentials on Calabi-Yau manifolds and also a construction of global canonical family of ho…

2012-07-05abs ↗pdf ↗
Deformations of geometric structures on a subclass of LVM threefoldsmath.DG

Study geometric structures on LVM threefolds, focusing on resonant structures.

problem Understanding deformations of geometric structures on LVM threefolds.
method Using the Ehresmann-Thurston principle and Kuranishi family construction.
result Construction of a family containing all LVM threefolds and complete at every point.
LVM threefoldsgeometric structuresresonant structuresKuranishi familyEhresmann-Thurston principle
2025-08-05abs ↗pdf ↗