Determinant of complexes and higher Hessians
| dc.creator | Cukierman, Fernando | |
| dc.date | 1996-01-02 | |
| dc.date.accessioned | 2026-07-07T09:06:41Z | |
| dc.date.available | 2026-07-07T09:06:41Z | |
| dc.description | Let $X \subset \Bbb P^r$ be a smooth algebraic curve in projective space, over an algebraically closed field of characteristic zero. For each $m \in \Bbb N$, the $m$-flexes of $X$ are defined as the points where the osculating hypersurface of degree $m$ has higher contact than expected, and a hypersurface $H \subset \Bbb P^r$ is called a $m$-Hessian if it cuts $X$ along its $m$-flexes. When $X$ is a complete intersection, we give an expression for a (rational) $m$-Hessian as the Div (in the sense of Grothendieck-Knudsen-Mumford) of a complex of graded free modules naturally associated to $X$. The construction of this complex involves relating sheaves of differential operators on a scheme and a subscheme, and higher Euler sequences on projective space. | |
| dc.description | AMSTeX preprint style | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9601001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9601001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150097 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N99 (Primary) 14M12 (Secondary) | |
| dc.title | Determinant of complexes and higher Hessians | |
| dc.type | text |