Birkhoff strata of the Grassmannian Gr(2): Algebraic curves
نویسندگان
چکیده
منابع مشابه
Strata of rational space curves
The μ-invariant μ = (μ1, μ2, μ3) of a rational space curve gives important information about the curve. In this paper, we describe the structure of all parameterizations that have the same μ-type, what we call a μ-stratum, and as well the closure of strata. Many of our results are based on papers by the second author that appeared in the commutative algebra literature. We also present new resul...
متن کاملOn the geometry of some strata of uni-singular curves
We study geometric properties of linear strata of uni-singular curves. We resolve the singularities of closures of the strata and represent the resolutions as projective bundles. This enables us to study their geometry. In particular we calculate the Picard groups of the strata and the intersection rings of the closures of the strata. The rational equivalence classes of some geometric cycles on...
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 کاملThe join of algebraic curves
Let P be the n-dimensional projective space over C. Denote by G(1,P) the grassmannian of the all projective lines in P. By the Plücker embedding G(1,P) →֒ P( n+1 2 )−1 the grassmannian is an algebraic subset of P( n+1 2 ). For any projective line L ⊂ P we will denote by [L] the corresponding point of G(1,P) and for any P,Q ∈ P, P 6= Q, we will denote by PQ the unique projective line in P spanned...
متن کاملSpitzer’s Identity and the Algebraic Birkhoff Decomposition in pQFT
In this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theory. We show in very simple algebraic terms that the solutions of the recursively defined formulae for the Birkhoff factorization of regularized Hopf algebra characters, i.e. Feynman rules, naturally give a non-commuta...
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: Theoretical and Mathematical Physics
سال: 2011
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-011-0062-6