Vector bundles: from the instanton family to a new regularity
Boundary of the moduli space of instanton bundles on projective space
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Politecn Torino, Corso Duca Abruzzi 24, I-10129 Turin - Italy
[2] Univ Barcelona, Gran Via Corts Catalanes 585, Barcelona 08007 - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE; v. 20, n. 4, p. 1469-1505, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Instanton bundles on P-3 have been at the core of the research in Algebraic Geometry during the last thirty years. Motivated by the recent extension of their definition to other Fano threefolds of Picard number one, we develop the theory of instanton bundles on the complete flag variety F := F(0, 1, 2) of point-lines on P-2. After giving for them two different monadic presentations, we use it to show that the moduli space MIF (k) of instanton bundles of charge k is a geometric GIT quotient and the open subspace MIFs(k) subset of MIF(k) of stable instanton bundles has a generically smooth component of dim 8k - 3. Finally we study their locus of jumping conics.Y (AU) | |
| FAPESP's process: | 17/03487-9 - Vector bundles: from the instanton family to a new regularity |
| Grantee: | Simone Marchesi |
| Support Opportunities: | Regular Research Grants |