On deformation of curves and a formula of deligne
作者： Gert-Martin Greuel
DOI: 10.1007/BFB0071281
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摘要: We study deformations of germs reduced complex curve singularities and singular projective curves in some Pn(ℂ). In both cases a deformation is topologically trivial iff the Milnor numbers are constant during deformation. The number also occurs naturally degree Todd class Baum-Fulton-MacPherson formula Deligne concerning dimension base space semiuniversal Some applications this fact given particular to non-smooth-ability certain curves.
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sci-hub.se 参考文章(17)
Robin Hartshorne, Residues and duality ,(1966)
J. Briancon, A. Galligo, M. Granger, Déformations équisingulières des germes de courbes gauches réduites Mémoires de la Société mathématique de France. ,vol. 1, pp. 1- 69 ,(1980) , 10.24033/MSMF.273
Der kanonische Modul eines Cohen-Macaulay-Rings Springer Berlin Heidelberg. ,(1971) , 10.1007/BFB0059377
Ragnar-Olaf Buchweitz, Gert-Martin Greuel, The Milnor number and deformations of complex curve singularities Inventiones Mathematicae. ,vol. 58, pp. 241- 281 ,(1980) , 10.1007/BF01390254
Jonathan Wahl, Smoothings of normal surface singularities Topology. ,vol. 20, pp. 219- 246 ,(1981) , 10.1016/0040-9383(81)90001-X
Gert-Martin Greuel, Dualität in der lokalen Kohomologie isolierter Singularitäten Mathematische Annalen. ,vol. 250, pp. 157- 173 ,(1980) , 10.1007/BF01364456
R. D. MacPherson, Chern Classes for Singular Algebraic Varieties Annals of Mathematics. ,vol. 100, pp. 423- ,(1974) , 10.2307/1971080
G N Tjurina, Locally Semiuniversal Flat Deformations of Isolated Singularities of Complex Spaces Mathematics of The Ussr-izvestiya. ,vol. 3, pp. 967- 999 ,(1969) , 10.1070/IM1969V003N05ABEH000814
Hans Grauert, Über die deformation isolierter singularitäten analytischer mengen Inventiones Mathematicae. ,vol. 15, pp. 171- 198 ,(1971) , 10.1007/BF01404124
Paul Baum, William Fulton, Robert Macpherson, Riemann-Roch for Singular Varieties Publications Mathématiques de l'IHÉS. ,vol. 45, pp. 101- 145 ,(1975) , 10.1007/BF02684299