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4 papers · 2 filters
Fibration by non-smooth projective curves of arithmetic genus two in characteristic two
Alejandro Simarra Cañate, Karl-Otto Stöhr
Looking in positive characteristic for failures of the Bertini-Sard theorem, we determine, up to birational equivalence, the separable proper morphisms of smooth algebraic varietie…
Low degree hypersurfaces of projective toric varieties defined over a field have a rational point
Robin Guilbot
Quasi algebraically closed fields, or fields, are defined in terms of a low degree condition. Namely, the field is if every degree hypersurface of the projectiv…
On the rigidity of moduli of curves in arbitrary characteristic
Barbara Fantechi, Alex Massarenti
The stack of stable curves and its coarse moduli space are defined over , and therefore over any field. Over an alge…
Semistable modifications of families of curves and compactified Jacobians
Eduardo Esteves, Marco Pacini
Given a family of nodal curves, a semistable modification of it is another family made up of curves obtained by inserting chains of rational curves of any given length at certain n…