Christopher Lazda,Ambrus Pál's Rigid Cohomology over Laurent Series Fields (Algebra and PDF

By Christopher Lazda,Ambrus Pál

In this monograph, the authors advance a brand new conception of p-adic
cohomology for kinds over Laurent sequence fields in confident characteristic,
based on Berthelot's idea of inflexible cohomology. Many significant fundamental
properties of those cohomology teams are confirmed, corresponding to finite dimensionality
and cohomological descent, besides as
interpretations when it comes to Monsky-Washnitzer cohomology and Le Stum's
overconvergent site.
Applications of this new thought to mathematics questions, akin to l-independence
and the load monodromy conjecture, also are discussed.

The development of those cohomology teams, analogous to the
Galois representations linked to
varieties over neighborhood fields in combined attribute, fills an enormous hole within the learn of mathematics cohomology theories
over functionality fields. via extending the scope of present tools, the consequences offered right here additionally function a first
step in the direction of a extra basic conception of p-adic cohomology over
non-perfect floor fields.

Rigid Cohomology over Laurent sequence Fields will offer a useful gizmo for someone attracted to the
arithmetic of sorts over neighborhood fields of optimistic characteristic.
Appendices on very important heritage fabric comparable to inflexible cohomology and adic
spaces make it as self-contained as attainable, and an incredible place to begin for
graduate scholars trying to discover features of the classical idea of rigid
cohomology and with an eye fixed in the direction of destiny examine within the subject.

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Rigid Cohomology over Laurent Series Fields (Algebra and Applications) by Christopher Lazda,Ambrus Pál

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