A. A. Kytmanov, N. N. Osipov, S. A. Tikhomirov, “Finding ein components in the moduli spaces of stable rank $2$ bundles on the projective $3$-space”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 2,Pages 410

This article is cited in 7 papers

Finding ein components in the moduli spaces of stable rank $2$ bundles on the projective $3$-space

A. A. Kytmanov^a, N. N. Osipov^a, S. A. Tikhomirov^bc

^a Siberian Federal University, Krasnoyarsk, Russia
^b Koryazhma Branch of Lomonosov Nothern (Arctic) Federal University, Koryazhma, Russia
^c Ushinsky Yaroslavl State Pedagogical University, Yaroslavl, Russia

Abstract: Some method is proposed for finding Ein components in moduli spaces of stable rank $2$ vector bundles with first Chern class $c_1=0$ on the projective $3$-space. We formulate and illustrate a conjecture on the growth rate of the number of Ein components in dependence on the numbers of the second Chern class. We present a method for calculating the spectra of the above bundles, a recurrent formula, and an explicit formula for computing the number of the spectra of these bundles.

Keywords: stable bundle, Chern class, moduli space.

UDC: 512.7

Received: 05.05.2015

DOI: 10.17377/smzh.2016.57.214