Invariants of algebraic curves and topological expansion
نویسندگان
چکیده
منابع مشابه
Noncommutative invariants of algebraic curves
We prove that an algebraic curve of genus g admits a representation by the interval exchange transformation. This representation is based on the “zippered rectangles” technique due to W. Veech. The invariants Oλ and θλ of the interval exchange transformation are shown to be the projective invariants of the curve C. We establish a Riemann–Roch formula for Oλ. The first steps to the classificatio...
متن کاملThe Topological Invariants of Algebraic Varieties
1. Since the origins of the birational geometry of algebraic varieties cai be traced back to Riemann's theory of algebraic functions, it is not surprising that topological considerations have played a considerable role in the theory of algebraic varieties defined over the field of complex numbers. For instance in the theory of algebraic functions of two complex variables, due mainly tc Picard, ...
متن کاملArf Invariants of Real Algebraic Curves
. Let CA be the complex curve in CP(2) given by the same polynomial as RA. Thus RA = CA∩RP(2). RA is a M-curve precisely when CA \ RA consists of two punctured spheres which are interchanged by complex conjugation. Arbitrarily choose one of these components, say CA. The complex structure on CA induces an orientation on CA, and thus on each immersed circle of RA. Of course if we choose the other...
متن کاملOn Topological Invariants of Real Algebraic Functions
We consider a natural covering responsible for the complexity of the ramification of roots of the general real polynomial equation, and calculate the homology groups of its base; for equations of degree ≤ 5 we give a complete description of the topology of this base. The general complex d-valued entire algebraic function x = F (a1, . . . , ad), given by the equation (1) x + a1x + · · ·+ ad−1x+ ...
متن کاملInvariants for Tactile Recognition of Algebraic Curves
In this paper we study the recognition of low-degree polynomial curves based on minimal tactile data. Euclidean differential and semidifferential invariants have been derived for quadratic curves and special cubic curves that are found in applications. These invariants, independent of translation and rotation, are evaluated over the differential geometry at up to three points on a curve. Their ...
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: Communications in Number Theory and Physics
سال: 2007
ISSN: 1931-4523,1931-4531
DOI: 10.4310/cntp.2007.v1.n2.a4