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An unusual family of supersingular curves of genus five in characteristic two
Dušan Dragutinović
We construct a family of smooth supersingular curves of genus in characteristic with several notable features: its dimension matches the expected dimension of any component…
Oort's conjecture and automorphisms of supersingular curves of genus four
Dušan Dragutinović
We show that every component of the locus of smooth supersingular curves of genus in characteristic has a trivial generic automorphism group. As a result, we prove Oort's…
Ekedahl-Oort types of stable curves
Dušan Dragutinović
We extend Moonen's definition of Ekedahl-Oort types of smooth curves in terms of Hasse-Witt triples to all stable curves and show that it matches Ekedahl and van der Geer's definit…
Supersingular curves of genus four in characteristic two
Dušan Dragutinović
We describe the intersection of the Torelli locus with Newton and Ekedahl-Oort strata related to the supersingular locus in characteristic t…
Computing binary curves of genus five
Dušan Dragutinović
Genus 5 curves can be hyperelliptic, trigonal, or non-hyperelliptic non-trigonal, whose model is a complete intersection of three quadrics in . We present and explain…