LIPSCHITZIAN ELEMENTS OVER p-ADIC FIELDS
نویسندگان
چکیده
منابع مشابه
Factoring Polynominals over p-Adic Fields
We give an efficient algorithm for factoring polynomials over finite algebraic extensions of the p-adic numbers. This algorithm uses ideas of Chistov’s random polynomial-time algorithm, and is suitable for practical implementation.
متن کاملSimultaneous diagonal equations over p-adic fields
with coefficients aij in O. Write the degree as k = pm with p m. A solution x = (x1, . . . , xN) ∈ K is called non-trivial if at least one xj is non-zero. It is a special case of a conjecture of Emil Artin that (∗) has a non-trivial solution whenever N > Rk. This conjecture has been verified by Davenport and Lewis for a single diagonal equation over Qp and for a pair of equations of odd degree ...
متن کاملNearly Quadratic Mappings over p-Adic Fields
and Applied Analysis 3 As a special case, if n 2 in 1.3 , then we have the functional equation 1.2 . Also, if n 3 in 1.3 , we obtain 2 ∑ i1 2 3 ∑ i2 i1 1 f ⎛ ⎝ 3 ∑ i 1, i / i1,i2 xi − 2 ∑ r 1 xir ⎞ ⎠ 3 ∑ i1 2 f ⎛ ⎝ 3 ∑ i 1, i / i1 xi − xi1 ⎞ ⎠ f ( 3 ∑
متن کاملFINITENESS THEOREM ON ZERO-CYCLES OVER p-ADIC FIELDS
Contents Introduction 2 1. Homology theory and cycle map 6 2. Kato homology 11 3. Vanishing theorem 15 4. Bertini theorem over a discrete valuation ring 19 5. Surjectivity of cycle map 22 6. Blowup formula 24 7. A moving lemma 26 8. Proof of main theorem 28 9. Applications of main theorem 31 Appendix A. Resolution of singularities for embedded curves 34 References 39
متن کاملLINEAR SERIES OVER REAL AND p-ADIC FIELDS
We note that the degeneration arguments given by the author in [5] to derive a formula for the number of maps from a general curve C of genus g to P with prescribed ramification also yields weaker results when working over the real numbers or p-adic fields. Specifically, let k be such a field: we see that given g, d, n, and e1, . . . , en satisfying P i (ei − 1) = 2d − 2 − g, then there exists ...
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: Glasgow Mathematical Journal
سال: 2005
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089505002594