منابع مشابه
Bounding the Degree of Solutions to Pfaff Equations
We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.
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The finite Pfaff lattice is given by commuting Lax pairs involving a finite matrix L (zero above the first subdiagonal) and a projection onto Sp(N). The lattice admits solutions such that the entries of the matrix L are rational in the time parameters t1, t2, . . . , after conjugation by a diagonal matrix. The sequence of polynomial τ -functions, solving the problem, belongs to an intriguing ch...
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We introduce a simple iterative technique for bounding derivatives of solutions of Stein equations Lf = h−Eh(Z), where L is a linear differential operator and Z is the limit random variable. Given bounds on just the solutions or certain lower order derivatives of the solution, the technique allows one to deduce bounds for derivatives of any order, in terms of supremum norms of derivatives of th...
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Stroeker and Tzanakis gave convincing numerical and heuristic evidence for the fact that in their Ellog method a certain parameter λ plays a decisive role in the size of the final bound for the integral points on elliptic curves. Furthermore, they provided an algorithm to determine the MordellWeil basis of the curve which corresponds to the optimal choice of λ. In this paper we show that workin...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2003
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120022442