Type
Text
Type
Dissertation
Advisor
Kirillov, Alexander A. | Starr, Jason M. | de Cataldo, Mark A. A. | Ro?ek, Martin.
Date
2017-08-01
Keywords
Mathematics
Department
Department of Mathematics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree
Identifier
http://hdl.handle.net/11401/78112
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
A. Grothendieck proves that the Newton polygons of a family of smooth projective algebraic varieties defined on a field of characteristic p > 0 go up under a smooth specialization. When the family acquires semistable singular members, we prove the smallest slope of the Newton polygons attached to the rigid cohomology groups cannot become smaller upon degeneration. This is achieved by constructing the “generic higher direct images” for a singular morphism, using the convergent topoi. | 60 pages
Recommended Citation
Zhang, Dingxin, "Degeneration of slopes" (2017). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 3608.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/3608