The determination of integral closures and geometric applications
| dc.creator | Tan, Sheng-Li | |
| dc.creator | Zhang, De-Qi | |
| dc.date | 2003-10-30 | |
| dc.date | 2003-10-31 | |
| dc.date.accessioned | 2026-07-07T05:02:21Z | |
| dc.date.available | 2026-07-07T05:02:21Z | |
| dc.description | We express explicitly the integral closures of some ring extensions; this is done for all Bring-Jerrard extensions of any degree as well as for all general extensions of degree < 6; so far such an explicit expression is known only for degree < 4 extensions. As a geometric application we present explicitly the structure sheaf of every Bring-Jerrard covering space in terms of coefficients of the equation defining the covering; in particular, we show that a degree-3 morphism f : Y --> X is quasi-etale if and only if the first Chern class of the sheaf f_*(O_Y) is trivial (details in Theorem 5.3). We also try to get a geometric Galoisness criterion for an arbitrary degree-n finite morphism; this is successfully done when n = 3 and less satifactorily done when n = 5. | |
| dc.description | Advances in Mathematics, to appear (no changes, just add this info) | |
| dc.identifier | https://arxiv.org/abs/math/0310467 | |
| dc.identifier | http://arxiv.org/abs/math/0310467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69022 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13B22; 14E20; 11S15 | |
| dc.title | The determination of integral closures and geometric applications | |
| dc.type | text |