Canonical Surfaces in P

Modular Diagonal Quotient Surfaces

Notes: 1) The modular diagonal quotient surfaces as defined above may be viewed as a special case of the general diagonal quotient surfaces studied in Kani/Schanz[7]. 2) The inclusions of subsgroups {1} ≤ ∆αε ≤ G × G induce finite morphisms (both of degree m = |G|) YN Φ → ZN,ε Ψ → Y1 ' P × P. Moreover, by using Shimura’s canonical model X(N)/Q, it can be shown that all these varieties have cano...

Singular Bidouble Covers

A bidouble cover is a nite at Galois morphism with Galois group (Z=2) 2 ?. The structure theorem for smooth Galois (Z=2) 2 ? covers was given in Cat2] pag. 491-493] where bidouble covers of P 1 P 1 were introduced in order to nd interesting properties of the moduli spaces of surfaces of general type. In this paper we develop general formulae for the case of resolutions of singular bidouble cove...

Tracking Control of Uncertain Non - Iinear MIMO System Using Modified Sliding Surfaces for Attitude Large Maneuver of Satellites on Orbit

Designing a robust tracking control for a non-linear MIMO system with uncertainty is one of the most complicated control problems. In this paper, sliding mode changed to non-linear controllable canonical form by input-output linearization. This, sliding surfaces can be defined in a way that we can de-couple equations and indicate the sliding conditions of multi-variable controller system. The u...

Tracking Control of Uncertain Non - Iinear MIMO System Using Modified Sliding Surfaces for Attitude Large Maneuver of Satellites on Orbit

Designing a robust tracking control for a non-linear MIMO system with uncertainty is one of the most complicated control problems. In this paper, sliding mode changed to non-linear controllable canonical form by input-output linearization. This, sliding surfaces can be defined in a way that we can de-couple equations and indicate the sliding conditions of multi-variable controller system. The u...

Canonical surfaces in P^4 and Gorenstein algebras in codimension 2