Search
Search Results
-
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...
-
Weighted isoperimetric problem for spacelike hypersurface in de Sitter space
In this paper, we obtain the long-time existence and convergence results for a locally constrained mean curvature flow, which is nicely suitable for...
-
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...
-
Remarks on the Symmetries of a Model Hypersurface
In this partly expository paper, we deal with sharp jet determination results following from a generalization of the Chern—Moser theory to Levi...
-
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.
-
Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space
We investigate the question of sharp upper bounds for the Steklov eigenvalues of a hypersurface of revolution in Euclidean space with two boundary...
-
On two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space
A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian structure of the ambient space....
-
Some Conditions Concerning the Shape Operator of a Real Hypersurface in Complex Projective Space
Let M be a real hypersurface of a complex projective space. For any operator B on M and any nonnull real number k , we can define two tensor fields of...
-
Maximal Dimension of Groups of Symmetries of Homogeneous 2-nondegenerate CR Structures of Hypersurface Type with a 1-dimensional Levi Kernel
We prove that for every n ≥ 3 the sharp upper bound for the dimension of the symmetry groups of homogeneous, 2-nondegenerate, (2 n + 1)-dimensional CR...
-
The Dual Variety of a Linear Determinantal Hypersurface
This chapter, although of a marked geometric nature, is firmly grounded on previous chapters. It gives a good grip on the dimension of the dual...
-
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials
In this paper, we find the tight closure of powers of parameter ideals of certain diagonal hypersurface rings. In many cases, the associated graded...
-
Schmidt’s Subspace Theorem for Moving Hypersurface Targets in Subgeneral Position in Projective Varieties
Our goal is to give Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position in projective varieties.
-
Lê Cycles and Numbers of Hypersurface Singularities
The Milnor number is the most important number associated to an isolated hypersurface singularity. It is an invariant of the ambient topological-type...
-
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...
-
Codimension Two Spacelike Submanifolds Through a Null Hypersurface in a Lorentzian Manifold
Most important examples of null hypersurfaces in a Lorentzian manifold admit an integrable screen distribution, which determines a spacelike...
-
Hypersurface Data: General Properties and Birkhoff Theorem in Spherical Symmetry
The notions of (metric) hypersurface data were introduced in Mars (Gen Relativ Gravit 45:2175–2221, 2013) as a tool to analyze, from an abstract...
-
Introduction to Mixed Hypersurface Singularity
In 1968, Milnor introduced the fibration structure $$\varphi :\mathbb S_\varepsilon...
-
Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra
The reduced b-functions and the relevant holonomic D-modules associated to a family of hypersurfaces with non-isolated singularities are considered...
-
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...