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math.AG2020
Boundedness of fibers for pluricanonical maps of varieties of general type
Justin Lacini
We prove that the r-th pluricanonical maps of threefolds of general type have birationally bounded fibers if . Similarly, we prove that the r-th pluricanonical maps o…
math.AG2020★ 1 cited
On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
Emelie Arvidsson, Fabio Bernasconi, Justin Lacini
We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic . As a consequence, we show that klt threefold si…
math.AG2020★ 1 cited
On rank one log del Pezzo surfaces in characteristic different from two and three
Justin Lacini
We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequenc…