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- Centre National de la Recherche ScientifiqueFR105 papers
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9 papers · 2 filters
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…
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…
Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties
Lucas Mioranci
We generalize techniques by Coskun, Riedl, and Yeong, and obtain an almost optimal bound on the degree for the algebraic hyperbolicity of very general hypersurfaces in rational hom…
Fibrations by plane quartic curves with a canonical moving singularity
Cesar Hilario, Karl-Otto Stöhr
We classify fibrations by integral plane projective rational quartic curves whose generic fibre is regular but admits a non-smooth point that is a canonical divisor. These fibratio…
Strong congruence spaces and dimension in -geometry
Manoel Jarra
We introduce strong congruence spaces, which are topological spaces that provide a useful concept of dimension for monoid schemes. We study their properties and show that, given a…
Submanifolds with ample normal bundle
Maycol Falla Luza, Frank Loray, Jorge Vitório Pereira
We construct germs of complex manifolds of dimension along projective submanifolds of dimension with ample normal bundle and without non-constant meromorphic functions when…