Results 121 to 130 of about 91,366 (255)
Convergence of formal embeddings between real-analytic hypersurfaces in codimension one
We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent.
Mir, Nordine
core +2 more sources
Hypersurfaces with nonnegative Ricci curvature in hyperbolic space
Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedded hypersurface with nonnegative Ricci curvature in hyperbolic space has an asymptotic boundary at infinity of at most two points.
Bonini, Vincent, Ma, Shiguang, Qing, Jie
core
Generic hypersurface singularities
We give a new differential proof of our result on the maximal rank of generic unions of points of multiplicity two in projective space in degrees greater than five. This simplifies somewhat our proof of the Waring conjecture.
André Hirschowitz, J. Alexander
openaire +3 more sources
Quantum fields and entanglement on a curved lightfront
We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch.
Illan Halpern, Yasha Neiman
doaj +1 more source
Hypersurface Arrangements with Generic Hypersurfaces Added
19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
openaire +2 more sources
Hypersurfaces of any homogeneous $\mathbb{C}P^3$ [PDF]
Hypersurfaces are studied and classified under multiple additional assumptions in any Riemannian homogeneous space $(\mathbb{C}P^3, g_a)$, including nearly K\"ahler $\mathbb{C}P^3$. Notably, all extrinsically homogeneous hypersurfaces are classified in all these spaces, with an explicit family of examples. Moreover, for nearly K\"ahler $\mathbb{C}P^3$,
arxiv
Lefschetz theorem for abelian fundamental group with modulus
We prove a Lefschetz hypersurface theorem for abelian fundamental groups allowing wild ramification along some divisor. In fact, we show that isomorphism holds if the degree of the hypersurface is large relative to the ramification along the divisor ...
Kerz, Moritz, Saito, Shuji
core
Convergence of formal equivalences of hypersurfaces [PDF]
A formal invertible equivalence between two minimal real analytic hypersurfaces converges if and only if the hypersurfaces are holomorphically ...
arxiv
Some integral formulas for closed hypersurfaces in Riemannian space [PDF]
C. C. Hsiung
openalex +1 more source
Almost-toric hypersurfaces [PDF]
12 pages, 2 ...
openaire +3 more sources