Instanton bundles on the flag variety F(0,1,2)

Autor(es)

Malaspina, Francesco ^[1] ; Marchesi, Simone ^[2] ; Pons-Llopis, Juan Francisco ^[1]

Afiliação do(s) autor(es)

^[1] Politecn Torino, Corso Duca Abruzzi 24, I-10129 Turin - Italy

^[2] Univ Barcelona, Gran Via Corts Catalanes 585, Barcelona 08007 - Spain

• Tipo de documento: Artigo Científico
• Fonte: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE; v. 20, n. 4, p. 1469-1505, 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 17/03487-9 - Fibrados vetoriais: da família instanton até uma nova regularidade
• Beneficiário: Simone Marchesi
• Modalidade de apoio: Auxílio à Pesquisa - Regular