output
19952026
most citedDynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity

1.1k citations

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105 papers · 1 filter

math.AG2024

Numerically flat foliations and holomorphic Poisson geometry

Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1

We investigate the structure of smooth holomorphic foliations with numerically flat tangent bundles on compact Kähler manifolds. Extending earlier results on non-uniruled projectiv…

math.AG2024★ 1 cited

The abundance and SYZ conjectures in families of hyperkahler manifolds

Andrey Soldatenkov, Misha Verbitsky

Let be a holomorphic line bundle on a hyperkahler manifold , with nef and not big. SYZ conjecture predicts that is semiample. We prove that this is true, assumi…

math.AG2024★ 1 cited

Distributions with locally free tangent sheaf

J. V. Pereira, J. P. dos Santos

In the paper Stability of Holomorphic Foliations with Split Tangent Sheaf one finds a study of the locus where the tangent sheaf of a {\it family} of foliations in $…

math.AG2024

Non-algebraizable neighborhoods of curves

Maycol Falla Luza, Frank Loray, Paulo Sad

We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different…

math.AG2023★ 9 cited

Normal form of bimeromorphically contractible holomorphic Lagrangian submanifolds

Ekaterina Amerik, Misha Verbitsky

Let be a holomorphically symplectic complex manifold, not necessarily compact or quasiprojective, and a compact Lagrangian submanifold. We construct a deformation…

math.AG2023★ 1 cited

On Motivic and Arithmetic Refinements of Donaldson-Thomas invariants

Felipe Espreafico, Johannes Walcher

In recent years, a version of enumerative geometry over arbitrary fields has been developed and studied by Kass-Wickelgren, Levine, and others, in which the counts obtained are not…