2 citations · 3 across the 4 of their papers we have counts for
9 papers · 1 filter
Exterior algebra methods for the construction of rational surfaces in the projective fourspace
Hirotachi Abo, Frank-Olaf Schreyer
The aim of this paper is to present a construction of smooth rational surfaces in projective fourspace with degree 12 and sectional genus 13. The construction is based on exterior…
Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves
David Eisenbud, Frank-Olaf Schreyer
The higher direct image complex of a coherent sheaf (or finite complex of coherent sheaves) under a projective morphism is a fundamental construction that can be defined via a Cech…
A quick and dirty irreducibility Test for Multivariate Polynomials over F_q
H. -C. Graf v. Bothmer, F. -O. Schreyer
We provide some statistics about an irreducibility/reducibility test for multivariate polynomials over finite fields based on counting points. The test works best for polynomials i…
Canonical projections of irregular algebraic surfaces
Fabrizio Catanese, Frank Olaf Schreyer
A good canonical projection of a surface of general type is a morphism to the 3-dimensional projective space P^3 given by 4 sections of the canonical line bundle. To such a pro…
Resultants and Chow forms via Exterior Syzygies
David Eisenbud, Frank-Olaf Schreyer
Given a sheaf on a projective space P^n we define a sequence of canonical and easily computable Chow complexes on the Grassmannians of planes in P^n, generalizing the Beilinson mon…
Exterior algebra methods for the Minimal Resolution Conjecture
David Eisenbud, Sorin Popescu, Frank-Olaf Schreyer +1
If r\geq 6, r\neq 9, we show that the Minimal Resolution Conjecture fails for a general set of m points in P^r for almost 1/2\sqrt r values of m. This strengthens the result of Eis…