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Forme de Jordan de la Monodromie des Singularités Superisolées de Surfaces

Available Formats:
Electronic ISBN: 978-1-4704-0102-3
Product Code: MEMO/109/525.E
List Price: $39.00 MAA Member Price:$35.10
AMS Member Price: $23.40 Click above image for expanded view Forme de Jordan de la Monodromie des Singularités Superisolées de Surfaces Available Formats:  Electronic ISBN: 978-1-4704-0102-3 Product Code: MEMO/109/525.E  List Price:$39.00 MAA Member Price: $35.10 AMS Member Price:$23.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 1091994; 84 pp
MSC: Primary 14; 32;

In this work, Artal-Bartolo calculates the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. It turns out that the topology of these singularities is sufficiently complicated to produce counterexamples to a conjecture of Yau, using the theory of projective plane curves.

Mathematicians interested in local singularity theory over complex numbers from a topological poiint of view.

• Chapters
• 1. Introduction
• 2. Forme de Jordan et $SHM$
• 3. Les singularités superisolées
• 4. Le deuxième polynôme de Jordan
• 5. Le premier polynôme de Jordan
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Volume: 1091994; 84 pp
MSC: Primary 14; 32;

In this work, Artal-Bartolo calculates the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. It turns out that the topology of these singularities is sufficiently complicated to produce counterexamples to a conjecture of Yau, using the theory of projective plane curves.

• 2. Forme de Jordan et $SHM$