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Mircea Cimpoeas: Generic initial ideal for complete intersections of embedding dimension three with strong Lefschetz property, p.33-66

Abstract:

We compute the generic initial ideal of a complete intersection of em-bedding dimension three with strong Lefschetz property and we show that it is an almost reverse lexicographic ideal. This enable us to give a proof for Moreno's conjecture in the case n = 3 and characteristic zero.

Key Words: Complete intersection, generic initial ideal, Lefschetz property, Moreno's conjecture.

2000 Mathematics Subject Classification:: Primary 13P10, Se-condary 13D40,13C40.

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