Results 11 to 20 of about 72,858 (181)
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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Affine differential geometry of osculating hypersurfaces
Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
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Extension of holomorphic maps between real hypersurfaces of different dimension [PDF]
It is proved that the germ of a holomorphic map from a real analytic hypersurface M in C^n into a strictly pseudoconvex compact real algebraic hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on ...
Shafikov, Rasul, Verma, Kaushal
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Nonrational hypersurfaces [PDF]
In this very interesting paper there are developed some general ideas to obtain examples of Fano varieties, non-rational and not even ruled. -- Complete proofs, here only sketched, will appear elsewhere. The results are valid for ``very general'' hypersurfaces, that is they hold for hypersurfaces corresponding to a point in the complement of countably ...
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
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