The Kleiman–Piene conjecture and node polynomials for plane curves in $$\mathbb {P}^3$$ P 3
نویسندگان
چکیده
منابع مشابه
Computing Node Polynomials for Plane Curves
According to the Göttsche conjecture (now a theorem), the degree N of the Severi variety of plane curves of degree d with δ nodes is given by a polynomial in d, provided d is large enough. These “node polynomials” Nδ(d) were determined by Vainsencher and Kleiman–Piene for δ ≤ 6 and δ ≤ 8, respectively. Building on ideas of Fomin and Mikhalkin, we develop an explicit algorithm for computing all ...
متن کاملRelative node polynomials for plane curves
We generalize the recent work of S. Fomin and G. Mikhalkin on polynomial formulas for Severi degrees. The degree of the Severi variety of plane curves of degree d and δ nodes is given by a polynomial in d , provided δ is fixed and d is large enough. We extend this result to generalized Severi varieties parametrizing plane curves that, in addition, satisfy tangency conditions of given orders wit...
متن کاملPlane Jacobian conjecture for simple polynomials
A non-zero constant Jacobian polynomial map F = (P,Q) : C −→ C 2 has a polynomial inverse if the component P is a simple polynomial, i.e. if, when P extended to a morphism p : X −→ P of a compactification X of C, the restriction of p to each irreducible component C of the compactification divisor D = X −C is either degree 0 or 1.
متن کاملPlane Jacobian Conjecture for Rational Polynomials
We verify the plane Jacobian conjecture for the rational polynomials: A polynomial map F = (P, Q) : C −→ C, P, Q ∈ C[x, y], is invertible if PxQy − PyQx ≡ const. 6= 0 and, in addition, P is a rational polynomial, i.e. the generic fiber of P is the 2-dimensional topological sphere with a finite number of punctures.
متن کاملthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولذخیره 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: Selecta Mathematica
سال: 2018
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-018-0430-2