Deformationen von Keimen eigentlicher, holomorpher Abbildungen
Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of...
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| Format: |
E-Artikel |
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| Sprache: |
Deutsch |
| Erschienen: |
1982 |
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| Umfang: |
9 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Manuscripta mathematica - 1969, 39(1982) vom: Jan., Seite 39-47 |
| Übergeordnetes Werk: |
volume:39 ; year:1982 ; month:01 ; pages:39-47 ; extent:9 |
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| 520 | |a Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. | ||
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(DE-627)NLEJ202494357 DE-627 ger DE-627 rakwb ger Deformationen von Keimen eigentlicher, holomorpher Abbildungen 1982 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. Springer Online Journal Archives 1860-2002 Schumacher, Georg oth in Manuscripta mathematica 1969 39(1982) vom: Jan., Seite 39-47 (DE-627)NLEJ188989692 (DE-600)1459409-2 1432-1785 nnns volume:39 year:1982 month:01 pages:39-47 extent:9 http://dx.doi.org/10.1007/BF01312444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 39 1982 1 39-47 9 |
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(DE-627)NLEJ202494357 DE-627 ger DE-627 rakwb ger Deformationen von Keimen eigentlicher, holomorpher Abbildungen 1982 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. Springer Online Journal Archives 1860-2002 Schumacher, Georg oth in Manuscripta mathematica 1969 39(1982) vom: Jan., Seite 39-47 (DE-627)NLEJ188989692 (DE-600)1459409-2 1432-1785 nnns volume:39 year:1982 month:01 pages:39-47 extent:9 http://dx.doi.org/10.1007/BF01312444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 39 1982 1 39-47 9 |
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(DE-627)NLEJ202494357 DE-627 ger DE-627 rakwb ger Deformationen von Keimen eigentlicher, holomorpher Abbildungen 1982 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. Springer Online Journal Archives 1860-2002 Schumacher, Georg oth in Manuscripta mathematica 1969 39(1982) vom: Jan., Seite 39-47 (DE-627)NLEJ188989692 (DE-600)1459409-2 1432-1785 nnns volume:39 year:1982 month:01 pages:39-47 extent:9 http://dx.doi.org/10.1007/BF01312444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 39 1982 1 39-47 9 |
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(DE-627)NLEJ202494357 DE-627 ger DE-627 rakwb ger Deformationen von Keimen eigentlicher, holomorpher Abbildungen 1982 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. Springer Online Journal Archives 1860-2002 Schumacher, Georg oth in Manuscripta mathematica 1969 39(1982) vom: Jan., Seite 39-47 (DE-627)NLEJ188989692 (DE-600)1459409-2 1432-1785 nnns volume:39 year:1982 month:01 pages:39-47 extent:9 http://dx.doi.org/10.1007/BF01312444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 39 1982 1 39-47 9 |
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(DE-627)NLEJ202494357 DE-627 ger DE-627 rakwb ger Deformationen von Keimen eigentlicher, holomorpher Abbildungen 1982 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. Springer Online Journal Archives 1860-2002 Schumacher, Georg oth in Manuscripta mathematica 1969 39(1982) vom: Jan., Seite 39-47 (DE-627)NLEJ188989692 (DE-600)1459409-2 1432-1785 nnns volume:39 year:1982 month:01 pages:39-47 extent:9 http://dx.doi.org/10.1007/BF01312444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 39 1982 1 39-47 9 |
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Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. |
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Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. |
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Abstract Let f∶X→Z be a proper holomorphic mapping of complex spaces and zo∈Z a distinguished point. We denote by (X/Z) the germ of X along the subspace f−1(zo) over the germzo of Z at zo. A necessary condition for the existence of a versai deformation of (X/Z) is the finiteness of the dimension of the first tangenlo cohomology i.e. the space of infinitesimal deformations. Examples of this type are germs of modifications and germs of proper flat mappings. We show the existence of a versal deformation in the latter case under the above assuption. |
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