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jet schemes — 1 results found.

      
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Isomorphisms of Jet Schemes
C. R. Math. Rep. Acad. Sci. Canada Vol. 32 (1) 2010, pp. 19–23
Shihoko Ishii; Jorg Winkelmann (Received: 2009/07/30)

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If two schemes are isomorphic, then their \(m\)-jet schemes are isomorphic for all \(m\). In this paper we consider the converse problem. We prove that if an isomorphism of the \(m\)-jet schemes is induced from a morphism of the base schemes, then the morphism of the base schemes is an isomorphism. But we also prove that just the existence of isomorphisms between \(m\)-jet schemes does not yield the existence of an isomorphism between the base schemes.

Si deux schémas sont isomorphes, alors pour tout \(m\) les schémas de leurs \(m\)-jets sont isomorphes. Dans cet article nous considérons la question inverse. Nous démontrons que si un isomorphisme des schémas de \(m\)-jets est induit par un morphisme des schémas de base, alors ce morphisme des schémas de base est un isomorphisme. Mais nous démontrons aussi que l’existence d’un isomorphisme entre schémas des \(m\)-jets n’implique pas l’existence d’un isomorphisme entre les schémas de base.

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algebraic number theory approximation property automorphisms Bessel functions Boson-fermion correspondence C*-algebra Carmichael number center problem Chebyshev transform classification Classification of simple C*-algebras composition operators continued fractions Cuntz Semigroup elliptic curves fixed point Fourier transform function fields. functoriality general relativity generic property ideals indefinite inner product inductive limits of sub-homogeneous C*- algebras Irrational rotation algebra J-Hermitian matrix K-theory Kahler manifolds L-functions maximal ideal space nonexpansive mapping numerical range orthogonal polynomials Predual space prime number property SP Renormalization rotation algebras Salem number semi-reciprocal polynomials tracially approximate splitting interval algebras unbounded traces uniqueness Weak Markov set Whitney problems

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