Jet schemes of locally complete intersection canonical singularities
نویسندگان
چکیده
منابع مشابه
2 2 Fe b 20 01 Jet Schemes of Locally Complete Intersection Canonical Singularities
Let X be a variety defined over an algebraically closed field k of characteristic zero. The mth jet scheme Xm of X is a scheme whose closed points over x ∈ X are morphisms OX,x −→ k[t]/(t ). When X is a smooth variety, this is an affine bundle over X, of dimension (n + 1) dim X. The space of arcs X∞ of X is the projective limit X∞ = proj limmXm. Our main result is a proof of the following theor...
متن کاملA pr 2 00 1 Jet Schemes of Locally Complete Intersection Canonical
Let X be a variety defined over an algebraically closed field k of characteristic zero. The mth jet scheme Xm of X is a scheme whose closed points over x ∈ X are morphisms OX,x −→ k[t]/(t ). When X is a smooth variety, this is an affine bundle over X, of dimension (m + 1) dim X. The space of arcs X∞ of X is the projective limit X∞ = proj limmXm. Our main result is a proof of the following theor...
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Let X be a variety defined over an algebraically closed field k of characteristic zero. The mth jet scheme Xm of X is a scheme whose closed points over x ∈ X are morphisms OX,x −→ k[t]/(t ). When X is a smooth variety, this is an affine bundle over X, of dimension (n + 1) dim X. The space of arcs X∞ of X is the projective limit X∞ = proj limmXm. Our main result is a proof of the following theor...
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Let X be a variety defined over an algebraically closed field k of characteristic zero. The mth jet scheme Xm of X is a scheme whose closed points over x ∈ X are morphisms OX,x −→ k[t]/(t ). When X is a smooth variety, this is an affine bundle over X, of dimension (n + 1) dim X. The space of arcs X∞ of X is the projective limit X∞ = proj limmXm. Our main result is a proof of the following theor...
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In this article we prove a rigidity theorem for lagrangian singularities by studying the local cohomology of the lagrangian de Rham complex that was introduced in [SvS03]. The result can be applied to show the rigidity of all open swallowtails of dimension ≥ 2. In the case of lagrangian complete intersection singularities the lagrangian de Rham complex turns out to be perverse. We also show tha...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2001
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220100152