Results 11 to 20 of about 1,167 (94)

Heights on curves and limits of Hodge structures

Journal of the London Mathematical Society, Volume 108, Issue 1, Page 340-361, July 2023., 2023
Abstract We exhibit a precise connection between Néron–Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singular quotient curves. Our approach suggests a new way to compute Beilinson–Bloch heights in higher dimensions.
Spencer Bloch, Robin de Jong, Emre Can Sertöz   +2 more
wiley   +1 more source

On subvarieties of singular quotients of bounded domains

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source

Differential forms on log canonical spaces in positive characteristic

Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2208-2239, December 2021., 2021
Abstract Given a logarithmic 1‐form on the snc locus of a log canonical surface pair (X,D) over a perfect field of characteristic p≥7, we show that it extends with at worst logarithmic poles to any resolution of singularities. We also prove the analogous statement for regular differential forms, under an additional tameness hypothesis.
Patrick Graf
wiley   +1 more source

Heegner points in Coleman families

Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 124-152, January 2021., 2021
Abstract We construct two‐parameter analytic families of Galois cohomology classes interpolating the étale Abel–Jacobi images of generalised Heegner cycles, with both the modular form and Grössencharacter varying in p‐adic families.
Dimitar Jetchev, David Loeffler, Sarah Livia Zerbes   +2 more
wiley   +1 more source

Canonical Maps [PDF]

, 2018
Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations.
Marquis, Jean-Pierre
core   +1 more source

From Normal Functors to Logarithmic Space Queries

International Colloquium on Automata, Languages and Programming, 2019
We introduce a new approach to implicit complexity in linear logic, inspired by functional database query languages and using recent developments in effective denotational semantics of polymorphism.
Lê Thành Dung Nguyên, Cécilia Pradic
semanticscholar   +1 more source

Rotational superradiance in a time-reversal symmetry-broken quantum gas inside an optical cavity [PDF]

Physical Review Research
The appearance of quantized vortices in a superfluid and a Bose-Einstein condensate (BEC) stems from their nontrivial response to time-reversal symmetry (TRS).
N. Masalaeva, F. Mivehvar
semanticscholar   +1 more source

Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy [PDF]

Universe, 2016
It has been shown by explicit and exact calculation that the geometric product formula i.e., area (or entropy) product formula of outer horizon ( H + ) and inner horizon ( H - ) for charged accelerating black hole (BH) should neither be mass-independent ...
P. Pradhan
semanticscholar   +1 more source

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source

Constructible Sheaves and the Fukaya Category [PDF]

, 2006
Let $X$ be a compact real analytic manifold, and let $T^*X$ be its cotangent bundle. Let $Sh(X)$ be the triangulated dg category of bounded, constructible complexes of sheaves on $X$.
Nadler, David, Zaslow, Eric
core   +5 more sources