Hodge Diamonds and Adjoint Orbits

Hodge Diamonds and Adjoint Orbits

We present a Macaulay2 package that produces compactifications of adjoint orbits and of the fibres of symplectic Lefschetz fibrations on them. We use Macaulay2 functions to calculate the corresponding Hodge diamonds, which then reveal topological information about the Lefschetz fibrations.

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Bibliographische Detailangaben
Hauptverfasser: Callander, Brian, Gasparim, Elizabeth
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Beschreibung
Zusammenfassung:We present a Macaulay2 package that produces compactifications of adjoint orbits and of the fibres of symplectic Lefschetz fibrations on them. We use Macaulay2 functions to calculate the corresponding Hodge diamonds, which then reveal topological information about the Lefschetz fibrations.
DOI:10.48550/arxiv.1311.1265