Fragmented deformations of primitive multiple curves

• Autorzy: Jean-Marc Drézet
• Języki publikacji: EN

Abstrakty

EN

A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization of primitive multiple curves having a fragmented deformation.

Słowa kluczowe

EN

Multiple curves; Deformations

Kategorie tematyczne

• 14B20: Formal neighborhoods
• 14M05: Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 12
• Strony: 2106-2137

Daty

wydano

2013-12-01

online

2013-10-08

Twórcy

autor

Jean-Marc Drézet

• Institut de Mathématiques de Jussieu, Case 247

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0308-7