Note on ruled surfaces and their developables
نویسندگان
چکیده
منابع مشابه
Holomorphic Vector Bundles on Ruled Surfaces and Their Blowing Ups
This work is motivated by the general interest in moduli spaces of based SU(r)instantons on S and on the connected sum of complex projective planes, which can be interpreted as moduli spaces of framed holomorphic vector bundles on blown up ruled surfaces. To be precise, we consider moduli of based SU(r)-instantons over all self-dual four dimensional manifolds, where the twistor bration contains...
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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 کاملApproximation by ruled surfaces
Given a surface or scattered data points from a surface in 3-space, we show how to approximate the given data by a ruled surface in tensor product B-spline representation. This leads us to a general framework for approximation in line space by local mappings from the Klein quadric to Euclidean 4-space. The presented algorithm for approximation by ruled surfaces possesses applications in archite...
متن کاملRuled Laguerre minimal surfaces
A Laguerre minimal surface is an immersed surface in R being an extremal of the functional ∫ (H/K− 1)dA. In the present paper, we prove that any ruled Laguerre minimal surface distinct from a plane is up to motion a convolution of the helicoid x = y tan z, the cycloid r(t) = (t− sin t, 1−cos t, 0) and the Plücker conoid (ax+ by) = z(x+y) for some a, b ∈ R. To achieve invariance under Laguerre t...
متن کاملNormal Presentation on Elliptic Ruled Surfaces
are surjective for all m ≥ 2. If L is normally generated, then we say that L satisfies property Np, if the matrices in the free resolution of R over S have linear entries until the pth stage. In particular, property N1 says that the homogeneous ideal I of X in P(H(L)) is generated by quadrics. A line bundle satisfying property N1 is also called normally presented. Let R = k⊕R1 ⊕R2 ⊕ . . . be a ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1930
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1930-04986-1