Results 11 to 20 of about 230 (119)

A bound for the torsion on subvarieties of abelian varieties

Transactions of the American Mathematical Society
We give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian variety. The proof combines algebraic interpolation and a theorem of Serre on homotheties in the Galois representation associated to the torsion subgroup of an abelian variety.
Galateau, Aurélien, Martínez, César
core   +5 more sources

Gaussian maps and generic vanishing I: Subvarieties of abelian varieties [PDF]

, 2015
We present an approach to Green-Lazarsfeld's generic vanishing combining gaussian maps and the Fourier-Mukai transform associated to the Poincarè line bundle. As an application we prove the Generic Vanishing Theorem for all normal Cohen-Macaulay subvarieties of abelian varieties over an algebraically closed field.
Christopher D Hacon, Mircea Mustata, Mihnea Popa   +2 more
exaly   +5 more sources

Weak approximation versus the Hasse principle for subvarieties of abelian varieties

Mathematische Zeitschrift, 2023
For varieties over global fields, weak approximation in the space of adelic points can fail. For a subvariety of an abelian variety one expects this failure is always explained by a finite descent obstruction, in the sense that the rational points should be dense in the set of (modified) adelic points surviving finite descent. We show that this follows
Creutz, Brendan
core   +7 more sources

The Brauer–Manin–Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog

Journal of Number Theory, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chia-Liang Sun
exaly   +2 more sources

Division points on subvarieties of isotrivial semi-abelian varieties [PDF]

International Mathematics Research Notices, 2006
D. Ghioca, R. Moosa
exaly   +2 more sources

Topology of Subvarieties of Complex Semi-abelian Varieties [PDF]

International Mathematics Research Notices, 2020
AbstractWe use the non-proper Morse theory of Palais–Smale to investigate the topology of smooth closed subvarieties of complex semi-abelian varieties and that of their infinite cyclic covers. As main applications, we obtain the finite generation (except in the middle degree) of the corresponding integral Alexander modules as well as the signed Euler ...
Liu, Yongqiang, Maxim, Laurentiu, Wang, Botong   +2 more
openaire   +2 more sources

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj   +1 more source

Shimura subvarieties in the Prym locus of ramified Galois coverings [PDF]

, 2023
We study Shimura (special) subvarieties in the moduli space Ap,D of complex abelian varieties of dimension p and polarization type D. These subvarieties arise from families of covers compatible with a fixed group action on the base curve such that the ...
Mohajer, Abolfazl, Grosselli, Gian Paolo
core   +1 more source

On the Zilber-Pink conjecture for complex abelian varieties

, 2022
In this article, we prove that the Zilber-Pink conjecture for abelian varieties over an arbitrary field of characteristic $0$ is implied by the same statement for abelian varieties over the algebraic numbers. More precisely, the conjecture holds for
Fabrizio Barroero, Dill, Gabriel Andreas, Gabriel Dill   +2 more
core   +1 more source

On the signed Euler characteristic property for subvarieties of abelian varieties [PDF]

Journal of Singularities, 2018
v2: results hold now also in the analytic context (see Remark 4.9); comments are welcome and greatly ...
Elduque, Eva, Geske, Christian, Maxim, Laurentiu   +2 more
openaire   +3 more sources