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- Max Planck Institute for Gravitational PhysicsDE57 papers
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4 papers · 2 filters
Restricting linear syzygies: algebra and geometry
David Eisenbud, Mark Green, Klaus Hulek +1
In this paper we derive geometric consequences from the presence of a long strand of linear syzygies in the minimal free resolution of a closed scheme in projective space whose hom…
A new family of rational surfaces in P^4
Hans-Christian Graf v. Bothmer, Cord Erdenberger, Katharina Ludwig
We describe a new method of constructing rational surfaces with given invariants in P^4 and present a family of degree 11 rational surfaces of sectional genus 11 with 2 six-secants…
Generic Syzygy Schemes
Hans-Christian Graf v. Bothmer
For a finite dimensional vector space G we define the k-th generic syzygy scheme Gensyz_k(G) by explicit equations. We show that the syzygy scheme Syz(f) of any syzygy in the linea…
Radial index and Euler obstruction of a 1-form on a singular variety
W. Ebeling, S. M. Gusein-Zade
A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the…