NDLI: Some formulae arising in projective-differential geometry

Content Provider	Springer Nature Link
Author	Paris, A. Ilardi, G.
Copyright Year	2001
Abstract	Si stabilisce una terminologia di base che sembra essere particolarmente adatta a trattare alcune particolari questioni di geometria proiettivo-differenziale. Nell'ambito di questa si dimostrano alcuni risultati generali, tra cui delle formule “di inversione” riguardanti le deformazioni di famiglie di sottoschemi non ridotti. Come applicazione, si propongono nuove definizioni di alcuni concetti classici, tra cui quello di fuochi di ordine qualsiasi; infine si dà una nuova dimostrazione del teorema di struttura delle fibre della prima mappa di Gauss.We set up a framework in which some projective-differential intuitive concepts can be very easily formalized. Then we prove some general formulas. Among them, two “inversion formulas” about deformations of families of nonreduced subschemes are particularly remarkable. As applications, we give convenient definitions about some classic topics, such as higher order foci; finally we propose a new proof of the classic structure theorem about the first Gauss map.
Starting Page	63
Ending Page	88
Page Count	26
File Format	PDF
ISSN	04303202
Journal	Annali dell’Università di Ferrara
Volume Number	47
Issue Number	1
e-ISSN	18271510
Language	English
Publisher	Springer-Verlag
Publisher Date	2001-01-01
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics Analysis Geometry History of Mathematics Numerical Analysis Algebraic Geometry
Content Type	Text
Resource Type	Article
Subject	Mathematics

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