For subschemes in projective space liaison arises from the geometric notion of linkage. Roughly speaking, two subschemes are directly linked if their union is a complete intersection. The equivalence relation generated by linkage is called liaison. One can also define a finer equivalence relation called biliaison (or even liaison): two subschemes are in the same biliaison class if they are related to each other by an even number of direct links. Thus, in some sense, a biliaison class is "half" of a liaison class. It turns out that biliaison classes are the right object to study in the context of liaison.

Biliaison Classes of Reflexive Sheaves(1995 Nov 24).

Biliaison Classes of Reflexive Sheaves

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1995

Abstract

For subschemes in projective space liaison arises from the geometric notion of linkage. Roughly speaking, two subschemes are directly linked if their union is a complete intersection. The equivalence relation generated by linkage is called liaison. One can also define a finer equivalence relation called biliaison (or even liaison): two subschemes are in the same biliaison class if they are related to each other by an even number of direct links. Thus, in some sense, a biliaison class is "half" of a liaison class. It turns out that biliaison classes are the right object to study in the context of liaison.
Buraggina, Antonella
Ellia, Philippe; Walter, Charles
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/4454
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