Some algebraic curves
نویسندگان
چکیده
منابع مشابه
Some Applications of Algebraic Curves to Computational Vision
We introduce a new formalism and a number of new results in the context of geometric computational vision. The classical scope of the research in geometric computer vision is essentially limited to static configurations of points and lines in P 3. By using some well known material from algebraic geometry, we open new branches to computational vision. We introduce algebraic curves embedded in P ...
متن کاملAlgebraic Curves
We consider the problem of tracing algebraic curves by computer, using a numerical technique augmented by symbolic computations. In particular, all singularities are analyzed cOITectly. The methods presented find application in solid modeling and robotics.
متن کاملMt845: Algebraic Curves
1.1. Sheaves. Let X be a topological space. A sheaf F on X associates to each open set U an abelian group F (U), called the sections of F over U , along with a restriction map rV,U : F (V ) → F (U) for any open sets U ⊂ V (for a section σ ∈ F (V ), we often write σ|U to denote rV,U (σ)), satisfying the following conditions: (1) For any open sets U ⊂ V ⊂W , rV,U ◦ rW,V = rW,U ; (2) For a collect...
متن کاملAlgebraic Curves/Fall 2015
(Algebra) It’s a complex projective manifold C of dimension one. As such, it has a field of rational functions K(C) of transcendence degree one over the field C of scalars. The curve can be recovered from the field as the set of discrete valuation rings of K/C, which has the “natural” structure of a projective manifold. There is a canonical line bundle ωC , whose degree captures the genus via d...
متن کاملGeometry of Algebraic Curves
The canonical divisor on a smooth plane curve 30 6.2. More general divisors on smooth plane curves 31 6.3. The canonical divisor on a nodal plane curve 32 6.4. More general divisors on nodal plane curves 33
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1918
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1918-03153-4