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Liaison and Rel. Top.

By C. Folegatti


Abstract. We give an elementary proof of a result of Katz relating invariants of linked surfaces in P 4. A similar result is proved for volumes in P 5. Then we try to connect the geometry of the curve D = S ∩ S ′ to the properties of the linked surfaces, for example we show that if D is a complete intersection, then one of the surfaces is a complete intersection too. 1

Year: 2011
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