منابع مشابه
A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps
We study deformations of holomorphic maps of compact, complex, Kähler manifolds. In particular, we describe a generalization of Bloch’s semiregularity map that annihilates obstructions to deform holomorphic maps with fixed codomain.
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Let H P denote the Hilbert scheme of smooth connected curves in P. We consider maximal irreducible closed subsets W ⊂ H P whose general member C is contained in a smooth cubic surface and investigate the conditions for W to be a component of (H P )red. We especially study the case where the dimension of the tangent space of H P at [C] is greater than dimW (≥ 4 deg(C)) by one. We compute obstruc...
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To every morphism χ : L → M of differential graded Lie algebras we associate a functors of artin rings Defχ whose tangent and obstruction spaces are respectively the first and second cohomology group of the suspension of the mapping cone of χ. Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanif...
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In this paper,we formulate a nonlinear elasticity theory inwhich the ambient space is evolving. For a continuum moving in an evolving ambient space, we model time dependency of the metric by a time-dependent embedding of the ambient space in a larger manifold with a fixed background metric. We derive both the tangential and the normal governing equations. We then reduce the standard energy bala...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1981
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1981-0621974-2