Journal of Siberian Federal University. Mathematics & Physics / On the Dimensions of Components of Stable Rank 2 Vector Bundles with Odd Determinant on P3

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Kytmanov, Alexey A.; Tikhomirov, Sergey A.
Contact information
Kytmanov, Alexey A. : Institute for Advanced Technologies and Industrial Programming MIREA — Russian Technological University Moscow, Russian Federation; OCRID: 0000-0003-3325-099X; Tikhomirov, Sergey A. : Ushinsky Yaroslavl State Pedagogical University Yaroslavl, Russian Federation; OCRID: 0000-0002-7409-8464
Keywords
vector bundles; sheaves; moduli space; dimensions of components
Abstract

We prove that the irreducible components of the infinite series of stable rank 2 vector bundles on complex three-dimensional projectice space with odd determinant, constructed in 2019 by A. S. Tikhomirov, S. A. Tikhomirov, and D. A. Vasiliev, always have a dimension higher than the dimen- sion predicted by the deformation theory

Pages
65–71
EDN
HLTKIG
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/157934