Results 71 to 80 of about 230 (119)

Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]

Math Ann, 2021
Patakfalvi Z, Zdanowicz M.
europepmc   +1 more source

Compact Subvarieties of the Moduli Space of Complex Abelian Varieties

We determine the maximal dimension of compact subvarieties of $\mathcal{A}_g$, the moduli space of complex principally polarized abelian varieties of dimension $g$, and the maximal dimension of a compact subvariety through a very general point of $\mathcal{A}_g$.
Grushevsky, Samuel, Mondello, Gabriele, Manni, Riccardo Salvati, Tsimerman, Jacob   +3 more
openaire   +2 more sources

The local motivic DT/PT correspondence. [PDF]

J Lond Math Soc, 2021
Davison B, Ricolfi AT.
europepmc   +1 more source

The canonical arithmetic height of subvarieties of an abelian variety over a finetely generated field

Journal für die reine und angewandte Mathematik (Crelles Journal), 2001
20 pages, typeseted by ...
openaire   +2 more sources

The Torelli locus and special subvarieties

, 2013
We study the Torelli locus Tg in the moduli space Ag of abelian varieties. We consider special subvarieties (Shimura subvarieties) contained in the Torelli locus.
Farkas, G., Algebra & Geometry and Mathematical Locic, Dep Wiskunde, Algebra en meetkunde, Moonen, B.J.J., Oort, F., Morrison, I., Afd Mathematisch Instituut   +7 more
core  

$\ell$-Galois special subvarieties and the Mumford-Tate conjecture

, 2022
We introduce $\ell$-Galois special subvarieties as an $\ell$-adic analog of the Hodge-theoretic notion of a special subvariety. The Mumford-Tate conjecture predicts that both notions are equivalent.
Kreutz, Tobias
core  

The Relative Bogomolov Conjecture for Fibered Products of Elliptic Curves

, 2022
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered products of families of elliptic curves from the author's recent theorem on equidistribution in families of abelian varieties.
Kühne, Lars
core  

Quiver flag varieties and mirror symmetry

, 2019
Quiver flag zero loci are subvarieties of quiver flag varieties cut out by sections of representation theoretic vector bundles. Grassmannians are an example of quiver flag varieties.
Kalashnikov, Elana
core   +1 more source

The Kobayashi pseudometric on compact complex surfaces in abelian varieties

, 2020
Die Thesis beschäftigt sich mit kompakten komplexen Flächen allgemeinen Typs in abelschen Varietäten. Es ist bekannt, dass derartige Flächen, die nicht hyperbolisch im Sinne von S. Kobayashi sind, elliptische Kurven enthalten.
Schuster, Christian (M. Sc.)
core  

Harmonic tropical morphisms and approximation. [PDF]

Math Ann, 2020
Lang L.
europepmc   +1 more source