Zobrazeno 1 - 10
of 293
pro vyhledávání: '"Base field"'
Publikováno v:
Journal of Number Theory. 229:39-52
We extend the result of Bisson [4] to compute the endomorphism rings of principally polarized, absolutely simple, and ordinary abelian surfaces defined over finite fields in subexponential time in the size of the base field. The abelian surfaces cove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce48d2cf2b6422220f0a809e7cc29f90
https://doi.org/10.1016/j.jnt.2021.04.024
https://doi.org/10.1016/j.jnt.2021.04.024
Autor:
Kenichi Namikawa
Publikováno v:
manuscripta mathematica. 169:461-517
We give a construction of p-adic Asai L-functions for cohomological cuspidal automorphic representations of $$\mathrm{GL}_2$$ over CM fields. If the base field is imaginary quadratic, Loeffler–Williams recently constructed such p-adic Asai L-functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f01bc27b3ef3e7ec63d6ef3a068629f
https://doi.org/10.1007/s00229-021-01341-3
https://doi.org/10.1007/s00229-021-01341-3
Publikováno v:
Cryptography and Communications. 13:601-616
In this work, we study a new family of rings, ${\mathscr{B}}_{j,k}$ B j , k , whose base field is the finite field ${\mathbb {F}}_{p^{r}}$ F p r . We study the structure of this family of rings and show that each member of the family is a commutative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bafea8f3e21d4063f4e44ce61b7aa1a4
https://doi.org/10.1007/s12095-021-00487-x
https://doi.org/10.1007/s12095-021-00487-x
Publikováno v:
Beelen, P, Rosenkilde, J & Solomatov, G 2021, ' Fast Encoding of AG Codes over C ab Curves ', IEEE Transactions on Information Theory, vol. 67, no. 3, pp. 1641-1655 . https://doi.org/10.1109/TIT.2020.3042248
We investigate algorithms for encoding of one-point algebraic geometry (AG) codes over certain plane curves called $C_{ab}$ curves, as well as algorithms for inverting the encoding map, which we call “unencoding”. Some $C_{ab}$ curves have many p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ec26668820d0e8c435be0400b417909
https://doi.org/10.1109/tit.2020.3042248
https://doi.org/10.1109/tit.2020.3042248
Publikováno v:
Linear and Multilinear Algebra. 70:3553-3576
Let V be an n-dimensional linear space over an algebraically closed base field. We provide a general method for classifying, up to equivalence, all bilinear maps f : V × V → V such that d i m ( r a...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd5b9124dfcc36a9363834e5f7e1158d
https://doi.org/10.1080/03081087.2020.1849001
https://doi.org/10.1080/03081087.2020.1849001
Autor:
Francesc Bars, Josep González
Publikováno v:
Journal of Algebra. 559:726-759
Let N ≥ 1 be a integer such that the modular curve X 0 ⁎ ( N ) has genus ≥2. We prove that X 0 ⁎ ( N ) is bielliptic exactly for 69 values of N. In particular, we obtain that X 0 ⁎ ( N ) is bielliptic over the base field for all these value
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::deb27e2410d8a2a070ab451190cc9c6c
https://doi.org/10.1016/j.jalgebra.2020.02.028
https://doi.org/10.1016/j.jalgebra.2020.02.028
Autor:
Kento Fujita
Publikováno v:
Acta Mathematica Vietnamica. 45:943-965
We give an algebraic proof for which log del Pezzo pairs of Maeda type are K-polystable or not. If the base field is the complex number field, then the result is already known by Li and Sun.
30 pages
30 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce901a65cf34b413523f62f98de0b0b7
https://doi.org/10.1007/s40306-020-00388-w
https://doi.org/10.1007/s40306-020-00388-w
Autor:
A. I. Generalov, A. V. Semenov
Publikováno v:
Journal of Mathematical Sciences. 247:518-549
The description of the Hochschild cohomology algebra for a family of local algebras of quaternion type is given in terms of generators and relations. This family appears in the famous K. Erdmann’s classification only in the case where the character
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f14ec2199c8808dea0dc4f4ed1fc476b
https://doi.org/10.1007/s10958-020-04818-w
https://doi.org/10.1007/s10958-020-04818-w
Autor:
Daniel J. Thompson
Publikováno v:
Communications in Algebra. 48:3922-3932
Dickson’s commutative semifields are an important class of finite division algebras. We generalize Dickson’s construction over any base field by doubling not just finite field extensions (which wou...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3104f02d23f9173f179732e294307566
https://doi.org/10.1080/00927872.2020.1751849
https://doi.org/10.1080/00927872.2020.1751849
Autor:
Shihoko Ishii
Publikováno v:
Mathematische Zeitschrift. 297:389-397
This paper shows that Mustaţǎ–Nakamura’s conjecture holds for pairs consisting of a smooth surface and a multiideal with a real exponent over the base field of positive characteristic. As corollaries, we obtain the ascending chain condition of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1405350a0c4c24e92fab0511207c74aa
https://doi.org/10.1007/s00209-020-02514-8
https://doi.org/10.1007/s00209-020-02514-8