On the Number of Vedernikov–Ein Irreducible Components of the Moduli Space of Stable Rank 2 Bundles on the Projective Space
- Authors: Osipov N.N.1, Tikhomirov S.A.2,3
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Affiliations:
- Siberian Federal University
- Yaroslavl’State Pedagogical University
- Russia Koryazhma Branch of Northern (Arctic) Federal University
- Issue: Vol 59, No 1 (2018)
- Pages: 107-112
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171677
- DOI: https://doi.org/10.1134/S0037446618010123
- ID: 171677
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Abstract
We propose a method for finding the exact number of Vedernikov–Ein irreducible components of the first and second types in the moduli space M(0, n) of stable rank 2 bundles on the projective space P3 with Chern classes c1 = 0 and c2 = n ≥ 1. We give formulas for the number of Vedernikov–Ein components and find a criterion for their existence for arbitrary n ≥ 1.
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About the authors
N. N. Osipov
Siberian Federal University
Author for correspondence.
Email: nnosipov@rambler.ru
Russian Federation, Krasnoyarsk
S. A. Tikhomirov
Yaroslavl’State Pedagogical University; Russia Koryazhma Branch of Northern (Arctic) Federal University
Email: nnosipov@rambler.ru
Russian Federation, Yaroslavl’; Koryazhma