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Article Dans Une Revue Geometriae Dedicata Année : 2009

On general surfaces defined by an almost linear pfaffian

Résumé

We calculate the integers d such that a general surface Xd in of degree d contains an arithmetically Gorenstein set of points with a linear syzygy matrix of size 2α + 1. This condition is equivalent to Xd being defined by the pfaffian of a skew-symmetric matrix whose entries are linear except possibly a row and a column. We prove that this takes place for all d ≥ α + 1 if α ≤ 10. Conversely, for α ≥ 11, we show that the condition holds if and only if d is contained in the interval [α + 1, 15]. © Springer Science+Business Media B.V. 2009.

Dates et versions

hal-00865083 , version 1 (23-09-2013)

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L. Chiantini, Daniele Faenzi. On general surfaces defined by an almost linear pfaffian. Geometriae Dedicata, 2009, 142 (1), pp.91-107. ⟨10.1007/s10711-009-9360-7⟩. ⟨hal-00865083⟩
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