9 citations · 19 across the 14 of their papers we have counts for
14 papers
The equivariant Hilbert series of the canonical ring of Fermat curves
Hara Charalambous, Kostas Karagiannis, Sotiris Karanikolopoulos +1
We consider a Fermat curve over an algebraically closed field of characteristic and study the action of the automorphism group $G=\left(\mathbb{Z}/…
The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves
Hara Charalambous, Kostas Karagiannis, Aristides Kontogeorgis
We study the canonical model of the Artin-Schreier-Kummer-Witt flat family of curves over a ring of mixed characteristic. We first prove the relative version of a classical theorem…
Binomial fibers and indispensable binomials
Hara Charalambous, Apostolos Thoma, Marius Vladoiu
Let be an arbitrary ideal generated by binomials. We show that certain equivalence classes of fibers are associated to any minimal binomial generating set of . We provide a…
Markov complexity of monomial curves
Hara Charalambous, Apostolos Thoma, Marius Vladoiu
Let . We give an algebraic characterization of the universal Markov basis of the toric ideal . We show…
Markov bases and generalized Lawrence liftings
Hara Charalambous, Apostolos Thoma, Marius Vladoiu
Minimal Markov bases of configurations of integer vectors correspond to minimal binomial generating sets of the assocciated lattice ideal. We give necessary and sufficient conditio…
Minimal Generating Sets of Lattice Ideals
Hara Charalambous, Apostolos Thoma, Marius Vladoiu
Let be a lattice and be the corresponding lattice ideal in , where $…