Compactification of M_ℙ3(0,2) and Poncelet pairs of conics

M. S. Narasimhan and Günther Trautmann

Vol. 145 (1990), No. 2, 255–365

DOI: 10.2140/pjm.1990.145.255

Abstract

Let M(0,2) denote the quasi-projective variety of isomorphism classes of stable rank 2 vector bundles on ℙ₃(C) with c₁ = 0 and c₂ = 2. In this paper we study a natural (irreducible) compactification of M(0,2) and describe explicitly the sheaves on ℙ₃ which occur in the closure of M(0,2) in the moduli space of semi-stable sheaves on ℙ₃ with c₁ = 0, c₂ = 2 and c₃ = 0.

Mathematical Subject Classification 2000

Primary: 14D20

Secondary: 14J60

Milestones

Received: 2 November 1988

Revised: 18 May 1989

Published: 1 October 1990