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The Tjurina Number for Sebastiani–Thom Type Isolated Hypersurface Singularities
In this note, we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this, we are...
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Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold
We construct and study the intrinsic sub-Laplacian, defined outside the set of characteristic points, for a smooth hypersurface embedded in a contact...
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Local Invariant Hypersurfaces for Singular Foliations
The question of R. Thom of existence of invariant hypersurface for germs of holomorphic codimension one foliations is a leitmotiv in the theory. In...
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On Maximal Operators Associated with Singular Hypersurfaces
AbstractMaximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been...
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On Singular Yamabe Obstructions
We discuss the obstruction to the existence of a smooth solution of a singular version of the Yamabe problem for a hypersurface in a four-dimensional...
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Birationally rigid Fano cyclic covers over a hypersurface containing a singular point
Following on from the paper (Pukhlikov in Proc Edinb Math Soc 62(1):221–239,
2019 ), we prove birational superrigidity for a general Fano cyclic cover... -
Calabi–Yau 3-folds of Picard number 2 with hypersurface Cox rings
We classify all smooth Calabi–Yau threefolds of Picard number two that have a general hypersurface Cox ring.
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Bilinear forms in the Jacobian module and binding of N-spectral chains of a hypersurface with an isolated singularity
Using his deep and beautiful idea of cutting with a Hyperplane, Lefschetz explained how the homology groups of a projective smooth variety could be...
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The Arnold conjecture for singular symplectic manifolds
In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of
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On Singular Del Pezzo Hypersurfaces of Index 3
We determine the existence of Kähler-Einstein metrics on singular del Pezzo surfaces with quotient singularities which are hypersurfaces of index 3...
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On Estimates for Maximal Operators Associated with Singular Surfaces
AbstractThe paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in
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On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle
We investigate the complex analytic structure of the complement of a non-singular hypersurface with unitary flat normal bundle when the corresponding...
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Interlude: Singular Distributions of Defects in Bodies
The theory of de Rham currents enables an extension of the geometric theory of smooth distribution of defects, as in Chap. 7...
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Singular contact varieties
In this note we propose the generalization of the notion of a holomorphic contact structure on a manifold (smooth variety) to varieties with rational...
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On Definitions of Finsler Spaces and Axiomatics of Singular Finsler Geometry
A review of various approaches to the concept of a Finsler space based on different definitions is given. In particular, the axiomatics of a singular...