Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Spiess, Michael"'
Autor:
Galanakis, Alexandros, Spieß, Michael
Nori's Eisenstein cohomology classes and their integral refinements due to Beilinson, Kings and Levin can be used to obtain simple proofs of the rationality and integrality properties of special values of abelian $L$-functions of totally real fields.
Externí odkaz:
http://arxiv.org/abs/2402.11583
Autor:
Spieß, Michael
For a totally real number field $F$ and a nonarchimedean prime $\mathfrak{p}$ of $F$ lying above a prime number $p$ we introduce certain sheaf cohomology groups that intertwine the $\mathfrak{p}^{\infty}$-tower of a quaternionic Hilbert modular varie
Externí odkaz:
http://arxiv.org/abs/2012.08585
Autor:
Spiess, Michael
Given a cuspidal Hilbert modular eigenform $\pi$ of parallel weight 2 and a nonarchimedian place $\mathfrak p$ of the underlying totally real field such that the local component of $\pi$ at $\mathfrak p$ is the Steinberg representation, one can assoc
Externí odkaz:
http://arxiv.org/abs/2005.11892
Autor:
Dasgupta, Samit, Spiess, Michael
We present a conjectural formula for the principal minors and the characteristic polynomial of Gross's regulator matrix associated to a totally odd character of a totally real field. The formula is given in terms of the Eisenstein cocycle, which was
Externí odkaz:
http://arxiv.org/abs/1705.09432
Autor:
Dasgupta, Samit, Spieß, Michael
We introduce an integral version of the Eisenstein cocycle. As applications we prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to an abelian tower of fields and give a cohomological construction of th
Externí odkaz:
http://arxiv.org/abs/1411.4025
Autor:
Spiess, Michael
Let $E$ be a modular elliptic curve over a totally real number field $F$. We prove the weak exceptional zero conjecture which links a (higher) derivative of the $p$-adic $L$-function attached to $E$ to certain $p$-adic periods attached to the corresp
Externí odkaz:
http://arxiv.org/abs/1207.2289
Autor:
Spiess, Michael
Let $\chi$ be a Hecke character of finite order of a totally real number field $F$. By using Hill's Shintani cocyle we provide a cohomological construction of the $p$-adic $L$-series $L_p(\chi, s)$ associated to $\chi$. This is used to show that $L_p
Externí odkaz:
http://arxiv.org/abs/1203.6689
Autor:
Huck, Christian, Spiess, Michael
Publikováno v:
J. reine angew. Math. 677 (2013), 199-224
We consider algebraic Delone sets $\varLambda$ in the Euclidean plane and address the problem of distinguishing convex subsets of $\varLambda$ by X-rays in prescribed $\varLambda$-directions, i.e., directions parallel to nonzero interpoint vectors of
Externí odkaz:
http://arxiv.org/abs/1101.4149
Autor:
Spiess, Michael, Yamazaki, Takao
We construct an example of a torus $T$ over a field $K$ for which the Galois symbol $K(K; T,T)/n K(K; T,T) \to H^2(K, T[n]\otimes T[n])$ is not injective for some $n$. Here $K(K; T,T)$ is the Milnor $K$-group attached to $T$ introduced by Somekawa. W
Externí odkaz:
http://arxiv.org/abs/0706.4354
Autor:
Spiess, Michael
Let $\cal A$ be a maximal (or more generally a hereditary) order in a central simple algebra over a global field $F$ of positive characteristic. We study the reduction of the modular scheme of $\cal A$-elliptic sheaves at all places of $F$. We show t
Externí odkaz:
http://arxiv.org/abs/math/0701566