6 citations · 14 across the 17 of their papers we have counts for
19 papers
Surfaces of general type and sl_2-triples
Stefan Schröer, Nikolaos Tziolas
The sl_2-triples play a fundamental role for the structure theory of Lie algebras, and representation theory in general. Here we investigate sl_2-triples of global vector fields on…
Topics in group schemes and surfaces in positive characteristic
Nikolaos Tziolas
This is a survey paper on algebraic surfaces in positive characteristic based on a series of lectures that the author gave at the University of Edinburgh in March 2023. It is focus…
The structure of Frobenius kernels for automorphism group schemes
Stefan Schröer, Nikolaos Tziolas
We establish structure results for Frobenius kernels of automorphism group schemes for surfaces of general type in positive characteristics. It turns out that there are surprisingl…
Actions of on canonically polarized surfaces in characteristic p>0
Nikolaos Tziolas
This paper studies the existence of non trivial actions on a canonically polarized surface X defined over an algebraically closed field of characteristic p>0. In particular,…
Vector fields on canonically polarized surfaces
Nikolaos Tziolas
This paper investigates the geometry of canonically polarized surfaces defined over a field of positive characteristic which have a nontrivial global vector field, and the implicat…
Vector fields and moduli of canonically polarized surfaces in positive characteristic
Nikolaos Tziolas
This paper investigates the geometry of smooth canonically polarized surfaces defined over a field of positive characteristic which have a nontrivial global vector field, and the i…