Zobrazeno 1 - 10
of 485
pro vyhledávání: '"Kiran S. Kedlaya"'
Autor:
Kiran S. Kedlaya
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 6 (2022)
Let $X$ be a smooth scheme over a finite field of characteristic $p$. Consider the coefficient objects of locally constant rank on $X$ in $\ell$-adic Weil cohomology: these are lisse Weil sheaves in \'etale cohomology when $\ell \neq p$, and overconv
Externí odkaz:
https://doaj.org/article/43c5bdac902a44828f5f98b232982377
Autor:
Kiran S. Kedlaya
Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified int
Publikováno v:
International Mathematics Research Notices. 2023:2803-2833
We show that every smooth projective curve over a finite field $k$ admits a finite tame morphism to the projective line over $k$. Furthermore, we construct a curve with no such map when $k$ is an infinite perfect field of characteristic two. Our work
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66186042f065d20c58edd49339c209ff
https://doi.org/10.1093/imrn/rnab309
https://doi.org/10.1093/imrn/rnab309
Autor:
Kiran S. Kedlaya
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 57:831-866
Given a formal flat meromorphic connection over an excellent scheme over a field of characteristic zero, in a previous paper we established existence of good formal structures and a good Deligne-Malgrange lattice after suitably blowing up. In this pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bfe53f7ee01f8c15c72985aca250036
https://doi.org/10.4171/prims/57-3-4
https://doi.org/10.4171/prims/57-3-4
Autor:
Kiran S. Kedlaya
We show that the Fargues--Fontaine curve associated to an algebraically closed field of characteristic p is geometrically simply connected; that is, its base extension from Q_p to any complete algebraically closed overfield admits no nontrivial conne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f18fc50624b97ea8461f560e408d90e
https://escholarship.org/uc/item/95n4b3qr
https://escholarship.org/uc/item/95n4b3qr
Autor:
Kiran S. Kedlaya
Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::110f0dec30b55d5b2cca72270bb553cc
https://doi.org/10.1017/9781009127684
https://doi.org/10.1017/9781009127684
Publikováno v:
The Open Book Series, vol 4, iss 1
We describe an algorithm for computing, for all primes $p \leq X$, the mod-$p$ reduction of the trace of Frobenius at $p$ of a fixed hypergeometric motive in time quasilinear in $X$. This combines the Beukers--Cohen--Mellit trace formula with average
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c0669b488dfe3ce47afd96a524d18be
https://doi.org/10.2140/obs.2020.4.143
https://doi.org/10.2140/obs.2020.4.143
Autor:
Kiran S. Kedlaya
Publikováno v:
Infosys Science Foundation Series ISBN: 9789811671203
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f827ea322f6f55dfb5bdca2f71d9bb8
https://escholarship.org/uc/item/1743j69b
https://escholarship.org/uc/item/1743j69b
Publikováno v:
The Open Book Series, vol 2, iss 1
We give an interim report on some improvements and generalizations of the Abbott-Kedlaya-Roe method to compute the zeta function of a nondegenerate ample hypersurface in a projectively normal toric variety over $\mathbb{F}_p$ in linear time in $p$. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b6b6dad9efbb879d45b75805612e5fb
https://doi.org/10.2140/obs.2019.2.221
https://doi.org/10.2140/obs.2019.2.221
Autor:
Kiran S. Kedlaya, Anna Medvedovsky
Publikováno v:
Proceedings of the Thirteenth Algorithmic Number Theory Symposium
Open Book Series
The Open Book Series, vol 2, iss 1
Open Book Series
The Open Book Series, vol 2, iss 1
For all odd primes N up to 500000, we compute the action of the Hecke operator T_2 on the space S_2(Gamma_0(N), Q) and determine whether or not the reduction mod 2 (with respect to a suitable basis) has 0 and/or 1 as eigenvalues. We then partially ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a706567b01bc677ba674390672fd782a
https://doi.org/10.2140/obs.2019.2.325
https://doi.org/10.2140/obs.2019.2.325