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math.AG2023
-bic hypersurfaces and their Fano schemes
Raymond Cheng
A -bic hypersurface is a hypersurface in projective space of degree , where is a power of the positive ground field characteristic, whose equation consists of monomials…
math.AG2022
Geometry of -bic Hypersurfaces
Raymond Cheng
Traditional algebraic geometric invariants lose some of their potency in positive characteristic. For instance, smooth projective hypersurfaces may be covered by lines despite bein…
math.AG2021★ 1 cited
Unbounded negativity on rational surfaces in positive characteristic
Raymond Cheng, Remy van Dobben de Bruyn
We give explicit blowups of the projective plane in positive characteristic that contain smooth rational curves of arbitrarily negative self-intersection, showing that the Bounded…