Geometric local systems on very general curves and isomonodromy
A Landesman, D Litt - Journal of the American Mathematical Society, 2024 - ams.org
We show that the minimum rank of a non-isotrivial local system of geometric origin on a
suitably general $ n $-pointed curve of genus $ g $ is at least $2\sqrt {g+ 1} $. We apply this …
suitably general $ n $-pointed curve of genus $ g $ is at least $2\sqrt {g+ 1} $. We apply this …
Generic Beauville's Conjecture
Generic Beauville’s Conjecture Page 1 Forum of Mathematics, Sigma (2024), Vol. 12:e51 1–7
doi:10.1017/fms.2024.21 RESEARCH ARTICLE Generic Beauville’s Conjecture Izzet Coskun 1 …
doi:10.1017/fms.2024.21 RESEARCH ARTICLE Generic Beauville’s Conjecture Izzet Coskun 1 …
Pushforward of structure sheaf and virtual global generation
I Biswas, M Kumar, AJ Parameswaran - Proceedings of the …, 2024 - cambridge.org
Abstract Let $ f\,:\, X\,\longrightarrow\, Y $ be a generically smooth morphism between
irreducible smooth projective curves over an algebraically closed field of arbitrary …
irreducible smooth projective curves over an algebraically closed field of arbitrary …
Direct image of structure sheaf and parabolic stability
I Biswas, M Kumar, AJ Parameswaran - arXiv preprint arXiv:2410.08528, 2024 - arxiv.org
Let $ f: X\rightarrow Y $ be a dominant generically smooth morphism between irreducible
smooth projective curves over an algebraically closed field $ k $ such that ${\rm …
smooth projective curves over an algebraically closed field $ k $ such that ${\rm …
Complete Families of Generic Covers of Elliptic Curves
G Bujokas, A Patel - arXiv preprint arXiv:2410.20291, 2024 - arxiv.org
We introduce and motivate a conjecture about the existence of complete, 1-dimensional
families of covers of an elliptic curve. If the conjecture holds, then it would imply a uniform …
families of covers of an elliptic curve. If the conjecture holds, then it would imply a uniform …
Connections and genuinely ramified maps of curves
I Biswas, FX Machu, AJ Parameswaran - Forum Mathematicum, 2024 - degruyter.com
Given a singular connection D on a vector bundle E over an irreducible smooth projective
curve X, defined over an algebraically closed field, we show that there is a unique maximal …
curve X, defined over an algebraically closed field, we show that there is a unique maximal …