has connected fibers.
-invariant of linear algebraic groups
Let be a semisimple linear algebraic group of inner type over a field , and let be a projective homogeneous -variety such that splits over the function field of . We introduce the -invariant of which characterizes the motivic behavior of , and generalizes the -invariant defined by A. Vishik in the context of quadratic forms. We use this -invariant to provide motivic decompositions of all generically split projective homogeneous -varieties, e.g. Severi-Brauer varieties, Pfister quadrics,...
Jacobian criteria for complete intersections. The graded case.
Jacobian discrepancies and rational singularities
Inspired by several works on jet schemes and motivic integration, we consider an extension to singular varieties of the classical definition of discrepancy for morphisms of smooth varieties. The resulting invariant, which we call , is closely related to the jet schemes and the Nash blow-up of the variety. This notion leads to a framework in which adjunction and inversion of adjunction hold in full generality, and several consequences are drawn from these properties. The main result of the paper...
Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.
Jacobian problem for factorial varieties.
Jacobians and differents of projective varieties.
Jacobians and invariants.
Jacobians in isogeny classes of abelian surfaces over finite fields
We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus- curves over finite fields.
Jacobians of Drinfeld modular curves.
Jacobians with potentially good ...-reduction.
Jacobi-Bernoulli cohomology and deformations of schemes and maps
We introduce a notion of Jacobi-Bernoulli cohomology associated to a semi-simplicial Lie algebra (SELA). For an algebraic scheme X over ℂ, we construct a tangent SELA J X and show that the Jacobi-Bernoulli cohomology of J X is related to infinitesimal deformations of X.
Jacobienne locale d'une courbe formelle relative
Jacobiennes de certaines courbes de genre : torsion et simplicité
Jacobiennes des courbes de Mumford
Jacobiennes généralisées, monodromie unipotente et intégrales itérées
Jet schemes of complex plane branches and equisingularity
For , we determine the irreducible components of the th Jet Scheme of a complex branch and we give formulas for their number and for their codimensions, in terms of and the generators of the semigroup of . This structure of the Jet Schemes determines and is determined by the topological type of .
Joacobian surfaces in P4.
Joins and higher secant varieties.
Joins and intersections.