On moduli of instanton bundles on ℙ²ⁿ⁺¹

Vincenzo Ancona and Giorgio Maria Ottaviani

Vol. 171 (1995), No. 2, 343–351

DOI: 10.2140/pjm.1995.171.343

Abstract

Let MI_{ℙ²ⁿ⁺¹}(k) be the moduli space of stable instanton bundles on ℙ²ⁿ⁺¹ with c₂ = k. We prove that MI_{ℙ²ⁿ⁺¹}(2) is smooth, irreducible, unirational and has zero Euler-Poincaré characteristic, as it happens for ℙ³. We find instead that MI_ℙ⁵(3) and MI_ℙ⁵(4) are singular.

Mathematical Subject Classification 2000

Primary: 14D20

Secondary: 14J60

Milestones

Received: 5 January 1993

Published: 1 December 1995