Results 11 to 20 of about 85,527 (236)
Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One [PDF]
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.
Nordine Mir
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AbstractThe following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic $D$-varieties on the one hand, and of Cantat on rational dynamics on the other, is established: Working over a field of characteristic zero, suppose $\unicode[STIX]{x1D719}_{1},\unicode[STIX]{x1D719}_{2}:Z\rightarrow X$ are dominant ...
Jason Bell, Rahim Moosa, Adam Topaz
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HYPERSURFACE EXCEPTIONAL SINGULARITIES [PDF]
This paper studies hypersurface exceptional singularities in [Formula: see text] defined by non-degenerate function. For each canonical hypersurface singularity, there exists a weighted homogeneous singularity such that the former is exceptional if and only if the latter is exceptional.
Ishii, Shihoko, Prokhorov, Yuri
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We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
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Determinantal hypersurfaces. [PDF]
29 pages, Plain TeX, with a new Appendix by F.-O ...
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Well-poised hypersurfaces [PDF]
An ideal $I$ is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety $Trop(I)$ are prime. This condition was first defined by Nathan Ilten and the third author. We classify all well-poised hypersurfaces over an algebraically closed field.
Joseph Cecil +4 more
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Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory [PDF]
We consider Lagrangian submanifolds lying on a fiberwise strictly convex hypersurface in some cotangent bundle or, respectively, in the domain bounded by such a hypersurface.
Paternain, Gabriel P. +2 more
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On the rationality of generating functions of certain hypersurfaces over finite fields
Let $ a, n $ be positive integers and let $ p $ be a prime number. Let $ \mathbb F_q $ be the finite field with $ q = p^a $ elements. Let $ \{a_i\}_{i = 1}^\infty $ be an arbitrary given infinite sequence of elements in $ \mathbb F_q $ and $ a_1\neq 0 $.
Lin Han, Guangyan Zhu, Zongbing Lin
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Matching LTB and FRW spacetimes through a null hypersurface [PDF]
Matching of a LTB metric representing dust matter to a background FRW universe across a null hypersurface is studied. In general, an unrestricted matching is possible only if the background FRW is flat or open.
C. Barrabès +6 more
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Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories [PDF]
An action principle of singular hypersurfaces in general relativity and scalar-tensor type theories of gravity in the Einstein frame is presented without assuming any symmetry.
Mukohyama, Shinji
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