Frobenius trace fields of cohomologically rigid local systems
R Krishnamoorthy, YHJ Lam - arXiv preprint arXiv:2308.10642, 2023 - arxiv.org
Let $ X/\mathbb {C} $ be a smooth projective variety and let $ L $ be an irreducible
$\overline {\mathbb {Q}} _ {\ell} $-local system on $ X $ with torsion determinant. Suppose …
$\overline {\mathbb {Q}} _ {\ell} $-local system on $ X $ with torsion determinant. Suppose …
Constructing abelian varieties from rank 3 Galois representations with real trace field
R Krishnamoorthy, YHJ Lam - arXiv preprint arXiv:2403.18138, 2024 - arxiv.org
Let $ U/K $ be a smooth affine curve over a number field and let $ L $ be an irreducible rank
3$\overline {\mathbb Q} _ {\ell} $-local system on $ U $ with trivial determinant and infinite …
3$\overline {\mathbb Q} _ {\ell} $-local system on $ U $ with trivial determinant and infinite …
Constructing families of abelian varieties of -type over -punctured complex projective line via -adic Hodge theory and Langlands correspondence and …
J Yang, K Zuo - arXiv preprint arXiv:2303.09298, 2023 - arxiv.org
we construct infinitely many non-isotrivial families of abelian varieties of $ GL_2 $-type over
four punctured projective lines with bad reduction of type-$(1/2) _\infty $ via $ p $-adic …
four punctured projective lines with bad reduction of type-$(1/2) _\infty $ via $ p $-adic …
Boundedness of trace fields of rank two local systems
YHJ Lam - arXiv preprint arXiv:2210.13563, 2022 - arxiv.org
Let $ p $ be a fixed prime number, and $ q $ a power of $ p $. For any curve over $\mb {F}
_q $ and any local system on it, we have a number field generated by the traces of Frobenii …
_q $ and any local system on it, we have a number field generated by the traces of Frobenii …