منابع مشابه
Numerically Calabi-yau Orders on Surfaces
This is part of an ongoing program to classify maximal orders on surfaces via their ramification data. Del Pezzo orders and ruled orders have been classified in [6, 4] and [2]. In this paper, we classify numerically CalabiYau orders which are the noncommutative analogues of surfaces of Kodaira dimension zero. Throughout, all objects and maps are assumed to be defined over some algebraically clo...
متن کاملThe Explicit Construction of Orders on Surfaces
The study of orders over surfaces is an integral aspect of noncommutative algebraic geometry. Although there is a substantial amount known about orders, relatively few concrete examples have been constructed explicitly. Of those already constructed, most are del Pezzo orders, noncommutative analogues of del Pezzo surfaces, the simplest case. We reintroduce a noncommutative analogue of the well-...
متن کاملRational curves and ruled orders on surfaces
We study ruled orders. These arise naturally in the Mori program for orders on projective surfaces and morally speaking are orders on a ruled surface ramified on a bisection and possibly some fibres. We describe fibres of a ruled order and show they are in some sense rational. We also determine the Hilbert scheme of rational curves and hence the corresponding non-commutative Mori contraction. T...
متن کاملKummer’s Quartics and Numerically Reflective Involutions of Enriques Surfaces
A (holomorphic) automorphism of an Enriques surface S is said to be numerically reflective if it acts on the cohomology group H(S,Q) by reflection. We shall show that there are two lattice-types of numerically reflective involutions, and describe one type geometrically in terms of curves of genus 2 and Göpel subgroups of their Jacobians. An automorphism of an Enriques surface S is numerically t...
متن کاملNumerically Robust Continuous Collision Detection for Dynamic Explicit Surfaces
We present a new, provably robust method for continuous collision detection for moving triangle meshes. Our method augments the spatial coordinate system by one dimension, representing time. We can then apply numerically robust predicates from computational geometry to detect intersections in space-time. These predicates use only multiplication and addition, so we can determine the maximum nume...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2005
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610705006976