Results 11 to 20 of about 220,392 (138)
Mappings of Real Algebraic Hypersurfaces [PDF]
Journal of the American Mathematical Society, 1995 A holomorphic function h(Z) defined in a neighborhood of a point Z0 E CN is algebraic if there are polynomials qj(Z), j = 0, ..., k, not all identically zero, such that qk(Z)h(Z)k + ... + qo(Z) _ 0. A holomorphic mapping is algebraic if all its components are algebraic.
M. S. Baouendi, Linda Preiss Rothschild
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Finite type conditions for real hypersurfaces [PDF]
Journal of Differential Geometry, 1979 John P. D’Angelo
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On the embeddability of real hypersurfaces into hyperquadrics [PDF]
Advances in Mathematics, 2018 In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \geq 1$, the defining functions $ (z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v= (z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Ilya Kossovskiy +2 more
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Automated handling of complex chemical structures in Z‐matrix coordinates—The chemcoord library
Journal of Computational Chemistry, Volume 44, Issue 5, Page 710-726, February 15, 2023., 2023 We propose an algorithm for a chemically intuitive automatically generated Z‐matrix representation, including reliable back‐and‐forth transformation between coordinate spaces while properly handling linear dependencies. The usefulness of the method is showcased for molecule manipulation and initial guesses of reaction pathways.
Oskar Weser +2 more
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Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
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A geometric approach to reach‐avoid games with time limits
IET Control Theory &Applications, Volume 17, Issue 2, Page 192-209, January 2023., 2023 Abstract The differential games have been widely used to analyze the conflicts between intelligent agents. Motivated by the fact that the agents always have finite energy or time requirements, a novel reach‐avoid game with time limits is investigated in this work.
Xi Chen, Jianqiao Yu, Di Yang, Kang Niu
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Abundance of Real Lines on Real Projective Hypersurfaces [PDF]
International Mathematics Research Notices, 2012 We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains "many" real lines, namely, not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Sergey Finashin, Viatcheslav Kharlamov
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On Irreducible Components of Real Exponential Hypersurfaces [PDF]
Arnold Mathematical Journal, 2017 Some minor changes.
Nicolai Vorobjov +2 more
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Algebraicity of Global Real Analytic Hypersurfaces [PDF]
Geometriae Dedicata, 2006 Let X be an algebraic manifold without compact component and let V be a compact coherent analytic hypersurface in X, with finite singular set. We prove that V is diffeotopic (in X) to an algebraic hypersurface in X if and only if the homology class represented by V is algebraic and singularities are locally analytically equivalent to Nash singularities.
Kurdyka, Krzysztof, Kucharz, Wojciech
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Filling Real Hypersurfaces by Pseudoholomorphic Discs [PDF]
Journal of Geometric Analysis, 2008 We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs.
Alexander Tumanov, Alexandre Sukhov
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