On the Cohen-Macaulay type of the general hypersurface section of a curve

1995 ◽  
Vol 219 (1) ◽  
pp. 245-273 ◽  
Author(s):  
Juan C. Migliore ◽  
Uwe Nagel
Keyword(s):  
Hypersurface Section

scholarly journals Divisorial extractions from singular curves in smooth 3-folds

2016 ◽  
Vol 27 (01) ◽  
pp. 1650005 ◽  
Author(s):  
Tom Ducat
Keyword(s):  
Singular Curve ◽  
Type Formula ◽  
Hypersurface Section

Consider a singular curve [Formula: see text] contained in a smooth [Formula: see text]-fold [Formula: see text]. Assuming the general elephant conjecture, the general hypersurface section [Formula: see text] is Du Val. Under that assumption, this paper describes the construction of a divisorial extraction from [Formula: see text] by Kustin–Miller unprojection. Terminal extractions from [Formula: see text] are proved not to exist if [Formula: see text] is of type [Formula: see text] or [Formula: see text] and are classified if [Formula: see text] is of type [Formula: see text] or [Formula: see text].

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