Algebra and Applications Ser.: Rigid Cohomology over Laurent Series Fields by Christopher Lazda and Ambrus Pal (2016, Hardcover)
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ISBN-13: 9783319309507, 978-3319309507. In this monograph, the authors develop a new theory ofp-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology.