Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Gil, Jose Ignacio Burgos"'
Autor:
Gil, José Ignacio Burgos, Kramer, Jürg
In this paper we extend the arithmetic intersection theory of adelic divisors on quasiprojective varieties developed by X. Yuan and S. W. Zhang to cover certain adelic arithmetic divisors that are not nef nor integrable. The key concept used in this
Externí odkaz:
http://arxiv.org/abs/2403.11745
We provide a new description of Deligne-Beilinson cohomology for any Shimura variety in terms of tempered currents. This is particularly useful for computations of regulators of motivic classes and hence to the study of Beilinson conjectures. As an a
Externí odkaz:
http://arxiv.org/abs/2204.05163
We show that the ring of Siegel-Jacobi forms of fixed degree and of fixed or bounded ratio between weight and index is not finitely generated. Our main tool is the theory of toroidal b-divisors and their relation to convex geometry. As a byproduct of
Externí odkaz:
http://arxiv.org/abs/2203.14583
We show a Chern-Weil type statement and a Hilbert-Samuel formula for a large class of singular plurisubharmonic metrics on a line bundle over a smooth projective complex variety. For this we use the theory of b-divisors and the so-called multiplier i
Externí odkaz:
http://arxiv.org/abs/2112.09007
Tropical toric varieties are partial compactifications of finite dimensional real vector spaces associated with rational polyhedral fans. We introduce plurisubharmonic functions and a Bedford--Taylor product for Lagerberg currents on open subsets of
Externí odkaz:
http://arxiv.org/abs/2102.07392
We generalize the intersection theory of nef toric (Weil) b-divisors on smooth and complete toric varieties to the case of smooth and complete toroidal embeddings. As a key ingredient we show the existence of a limit measure, supported on the weakly
Externí odkaz:
http://arxiv.org/abs/2004.14045
We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.
Comment: Revised version, 40 pages, 5 figures. To appear in Mathematis
Comment: Revised version, 40 pages, 5 figures. To appear in Mathematis
Externí odkaz:
http://arxiv.org/abs/1911.04821
This paper deals with properties of filtrations on vector spaces indexed by partially ordered finitely generated abelian groups, which we call multifiltrations. We discuss the usual properties of filtrations, like exhaustivity and separatedness in th
Externí odkaz:
http://arxiv.org/abs/1808.10162
Publikováno v:
International Mathematics Research Notices, 2017
We study the degeneration of semipositive smooth hermitian line bundles on open complex manifolds, assuming that the metric extends well away from a codimension two analytic subset of the boundary. Using terminology introduced by R. Hain, we show tha
Externí odkaz:
http://arxiv.org/abs/1701.00370
Let $X$ be a normal projective variety over a complete discretely valued field and $L$ a line bundle on $X$. We denote by $X^\textrm{an}$ the analytification of $X$ in the sense of Berkovich and equip the analytification $L^\textrm{an}$ of $L$ with a
Externí odkaz:
http://arxiv.org/abs/1608.01919