Finite F-representation type is an important notion in characteristic p commutative algebra,
but explicit examples of varieties with or without this property are few. We prove that a large …

In this paper, we prove Roitman's theorem regarding torsion 0-cycles for singular projective
varieties over algebraically closed fields of arbitrary characteristic, for torsion which is of …

A smooth projective variety is said to be Fano if its anti-canonical bundle is ample. The
Kodaira vanishing theorem easily implies vanishing of all higher cohomology modules of …

The goal of this course is to introduce the Frobenius morphism and its uses in commutative
algebra and algebraic geometry. These characteristic p techniques have been used in …

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In this work we continue the study of rational equivalence of O-cycles on nonsingular
projective varieties over an algebraically closed field k, which we began in [13],[14]. The …

Let X be a normal projective variety defined over an algebraically closed field k of positive
characteristic. Let G be a connected reductive group defined over k. We prove that some …

In this paper, we prove that a smooth projective globally $ F $-split variety with numerically
flat tangent bundle is an\'etale quotient of an ordinary abelian variety. We also show its …

Given a rational homogeneous variety G/P where G is complex simple and of type ADE, we
prove that all tangent bundles T_ {G/P} are simple, meaning that their only endomorphisms …

The correspondence between Ga-actions on affine varieties and locally nilpotent derivations
of the coordinate algebras is generalized in the projective case to the correspondence …