Now showing items 1-9 of 9

• #### Criterion for logarithmic connections with prescribed residues ﻿

(2017-04-01)
A theorem of Weil and Atiyah says that a holomorphic vector bundle $E$ on a compact Riemann surface $X$ admits a holomorphic connection if and only if the degree of every direct summand of $E$ is zero. Fix a finite subset ...
• #### Examples of varieties with index one on C1 fields ﻿

(2019-04-16)
Let K be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field k. In this article we give a sufficient criterion for a projective variety over such a field to have index 1.
• #### Local Topological Obstruction For Divisors ﻿

(2020)
Given a smooth, projective variety $X$ and an effective divisor $D\,\subseteq\, X$, it is well-known that the (topological) obstruction to the deformation of the fundamental class of $D$ as a Hodge class, lies in ...

(2017)