Year: 2013
Type: article
Abstract: We describe the syzygy spaces for the Segre embedding P(U ) × P(V ) ⊂ P(U ⊗ V ) in terms of representations of GL(U ) × GL(V ) and construct the minimal resolutions of the sheaves O P(U )×P(V ) (a, b) in D(P(U ⊗V )) for a dim(U ) and b dim(V ).Also we prove some property of multiplication on syzygy spaces of the Segre embedding.
DOI: 10.4213/faa3119
Language: Russian
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4301628720