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Showing 1 to 6 of 6 for “"Witt Vectors"”.
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The Geometry of Finite Lattice Varieties Over Witt Vectors
For the Demazure desingularization, we investigate a lattice in the smooth locus, give an explicit decomposition formula of its matrix presentation as a product of affine reflections, and construct a smooth projective variety of iterated P1k -bundles with respect to the decomposition. We show that …
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Elliptic curves with complex multiplication and {u039B}-structures
… multiplication can be canonically lifted to the Witt vectors of the base (these are big and global Witt vectors). We also show that elliptic curves with complex multiplication of Shimura type are precisely those admitting Lambda structures. Along the way, we present a detailed study of families …
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Elliptic curves with complex multiplication and {u039B}-structures
… multiplication can be canonically lifted to the Witt vectors of the base (these are big and global Witt vectors). We also show that elliptic curves with complex multiplication of Shimura type are precisely those admitting Lambda structures. Along the way, we present a detailed study of families …
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Rational Points on Lattice Varieties
… of rational points on lattice varieties over Witt vectors with algebraically closed residue field in prime characteristic. These varieties are defined over a finite field. For varieties over finite field, the local zeta function encapsulates valuable number-theoretic information about the …
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The overconvergent de Rham-Witt complex
We define the overconvergent de Rham-Witt complex ... for a smooth affine variety over a perfect field in characteristic p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If dim C < p, we have an isomorphism integrally. One advantage of our …
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Arithmetic Deformation Classes Associated to Curves via p-Jet Spaces
We show that for certain curves over p-adic rings its first p-jet space admits the structure of a torsor under a line bundle.