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- W4383473062 abstract "In this work we study the moduli space of instanton bundles on the flag twistor space $F:=F(0,1,2)$. We stratify them in terms of the minimal twist supporting global sections and we introduce the notion of (special) 't Hooft bundle on $F$. In particular we prove that there exist $mu$-stable 't Hooft bundles for each admissible charge $k$. We completely describe the geometric structure of the moduli space of (special) 't Hooft bundles for arbitrary charge $k$. Along the way to reach these goals, we describe the possible structures of multiple curves supported on some rational curves in $F$ as well as the moduli space of del Pezzo surfaces realized as hyperplane sections of $F$. Finally we investigate the splitting behaviour of 't Hooft bundles when restricted to conics." @default.
- W4383473062 created "2023-07-07" @default.
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- W4383473062 date "2023-07-05" @default.
- W4383473062 modified "2023-10-18" @default.
- W4383473062 title "'t Hooft bundles on the complete flag threefold and moduli spaces of instantons" @default.
- W4383473062 doi "https://doi.org/10.48550/arxiv.2307.02197" @default.
- W4383473062 hasPublicationYear "2023" @default.
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