Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Jiangwei Xue"'
Autor:
Yucui, Lin, Jiangwei, Xue
Let $F$ be a number field, and $D$ be a quaternion $F$-algebra. We show that the class number of any residually unramified $O_F$-order (e.g. an Eichler order) in $D$ is divisible by the class number of $F$.
Comment: 7 pages, comments welcome
Comment: 7 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/2210.05290
Publikováno v:
Environmental Science and Pollution Research. 29:89210-89220
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4512387d20c4c48c4dfe364909c8f45
https://doi.org/10.1007/s11356-022-22031-x
https://doi.org/10.1007/s11356-022-22031-x
Autor:
Chia-Fu Yu, Jiangwei Xue
Publikováno v:
Indiana University Mathematics Journal. 70:781-808
In this paper we determine the number of endomorphism rings of superspecial abelian surfaces over a field $\mathbb{F}_q$ of odd degree over $\mathbb{F}_p$ in the isogeny class corresponding to the Weil $q$-number $\pm\sqrt{q}$. This extends earlier w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ee612e5a145321bd511ba65526ab8e2
https://doi.org/10.1512/iumj.2021.70.8324
https://doi.org/10.1512/iumj.2021.70.8324
Autor:
Chia-Fu Yu, Jiangwei Xue
Publikováno v:
Acta Mathematica Sinica, English Series. 37:205-228
This paper contains two parts toward studying abelian varieties from the classification point of view. In a series of papers, the current authors and T.-C. Yang obtain explicit formulas for the numbers of superspecial abelian surfaces over finite fie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56a71eee808483a48d752a438d7daf48
https://doi.org/10.1007/s10114-020-8415-4
https://doi.org/10.1007/s10114-020-8415-4
Publikováno v:
Research in Number Theory. 8
In the paper [On superspecial abelian surfaces over finite fields II. J. Math. Soc. Japan, 72(1):303--331, 2020], Tse-Chung Yang and the first two current authors computed explicitly the number $\lvert \mathrm{SSp}_2(\mathbb{F}_q)\rvert$ of isomorphi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75783d1b7cfe6430bd9eaa1e20594e86
https://doi.org/10.1007/s40993-021-00303-8
https://doi.org/10.1007/s40993-021-00303-8
Autor:
Deke Peng, Jiangwei Xue
Let $A$ be a quaternion algebra over a number field $F$, and $\mathcal{O}$ be an $O_F$-order of full rank in $A$. Let $K$ be a quadratic field extension of $F$ that embeds into $A$, and $B$ be an $O_F$-order in $K$. Suppose that $\mathcal{O}$ is a Ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a6286267f84f9b139b60819c54a49d2
http://arxiv.org/abs/2012.01117
http://arxiv.org/abs/2012.01117
Publikováno v:
Construction and Building Materials. 315:125612
In this paper, the effect of triethanolamine content on chloride binding capacity of cement fly ash composite cement paste after curing for 7 days and 28 days was studied. The hydration product composition and pore structure evolution of the hardened
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adc1a0a9c1c0a7ed536c706358d76336
https://doi.org/10.1016/j.conbuildmat.2021.125612
https://doi.org/10.1016/j.conbuildmat.2021.125612
Publikováno v:
J. Math. Soc. Japan 72, no. 1 (2020), 303-331
Extending the results of [Asian J. Math. 2019], in [Doc. Math. \textbf{21}, 2016] we calculated explicitly the number of isomorphism classes of superspecial abelian surfaces over an arbitrary finite field of \textit{odd} degree over the prime field $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a642406cc01c3ff59677a4bbdafbb9af
https://projecteuclid.org/euclid.jmsj/1574672466
https://projecteuclid.org/euclid.jmsj/1574672466
Publikováno v:
Asian Journal of Mathematics
Let $F$ be a totally real field with ring of integers $O_F$, and $D$ be a totally definite quaternion algebra over $F$. A well-known formula established by Eichler and then extended by K\"orner computes the class number of any $O_F$-order in $D$. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65247b64503687f8ab33587cf3ae3890
https://hdl.handle.net/21.11116/0000-0009-7198-C21.11116/0000-0009-719A-A
https://hdl.handle.net/21.11116/0000-0009-7198-C21.11116/0000-0009-719A-A
We study a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadratic fields, by taking into consideration the automorphism groups of right ideal classes (resp. unit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8bd0e81f617b4545dc0de7683315e5e
http://arxiv.org/abs/1807.04736
http://arxiv.org/abs/1807.04736