Endomorphisms of bounded height and resultant
نویسندگان
چکیده
منابع مشابه
On the Height of the Sylvester Resultant
X iv :m at h/ 03 10 27 6v 2 [ m at h. N T ] 1 3 M ay 2 00 4 ON THE HEIGHT OF THE SYLVESTER RESULTANT CARLOS D’ANDREA AND KEVIN G. HARE Abstract. Let n be a positive integer. We consider the Sylvester resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a quadratic polynomial, we find the resultant’s height. If f is a cubic pol...
متن کاملBayesian Detection in Bounded Height Tree Networks Citation Bayesian Detection in Bounded Height Tree Networks
We study the detection performance of large scale sensor networks, configured as trees with bounded height, in which information is progressively compressed as it moves towards the root of the tree. We show that, under a Bayesian formulation, the error probability decays exponentially fast, and we provide bounds for the error exponent. We then focus on the case where the tree has certain symmet...
متن کاملBounded Height in Families of Dynamical Systems
Let a, b ∈ Q be such that exactly one of a and b is an algebraic integer, and let ft(z) := z 2 + t be a family of polynomials parametrized by t ∈ Q. We prove that the set of all t ∈ Q for which there exist m,n ≥ 0 such that f t (a) = f t (b) has bounded height. This is a special case of a more general result supporting a new bounded height conjecture in arithmetic dynamics.
متن کاملNonlinear codes from points of bounded height
This paper generalizes Elkies’ construction of error-correcting nonlinear codes found in [N. Elkies, Excellent nonlinear codes from modular curves, in: Proceedings of the 33rd Annual ACM Symposium on the Theory of Computing, STOC’01, Hersonissos, Crete, Greece, 2001, pp. 200–208]. The generalization produces a precise average code size over codes in the new construction. The result is a larger ...
متن کاملPoints of Bounded Height on Algebraic Varieties
Introduction 1 1. Heights on the projective space 3 1.1. Basic height function 3 1.2. Height function on the projective space 5 1.3. Behavior under maps 7 2. Heights on varieties 9 2.1. Divisors 9 2.2. Heights 13 3. Conjectures 19 3.1. Zeta functions and counting 19 3.2. Height zeta function 20 3.3. Results and methods 22 3.4. Examples 24 4. Compactifications of Semi-Simple Groups 26 4.1. A Con...
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: Journal of Number Theory
سال: 2014
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.06.006