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- Title
Minimal resolutions, Chow forms and Ulrich bundles on K3 surfaces.
- Authors
Aprodu, Marian; Farkas, Gavril; Ortega, Angela
- Abstract
The Minimal Resolution Conjecture (MRC) for points on a projective variety X predicts that the Betti numbers of general sets of points in X are as small as the geometry (Hilbert function) of X allows. To a large extent, we settle this conjecture for a curve C with general moduli. We then proceed to find a full solution to the Ideal Generation Conjecture for curves with general moduli. In a different direction, we prove that K3 surfaces admit Ulrich bundles of every rank.We apply this to describe a pfaffian equation for the Chow form of a K3 surface.
- Subjects
ALGEBRAIC surfaces; FREE resolutions (Algebra); BETTI numbers; GEOMETRY; PFAFFIAN systems
- Publication
Journal für die Reine und Angewandte Mathematik, 2017, Vol 2017, Issue 730, p225
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2014-0124