Theses - Mathematics
http://hdl.handle.net/1721.1/7842
Tue, 18 Dec 2018 16:43:00 GMT2018-12-18T16:43:00ZThe design and implementation of a multi-programming virtual memory operating system for a mini-computer
http://hdl.handle.net/1721.1/119585
The design and implementation of a multi-programming virtual memory operating system for a mini-computer
Parks, Lee Stephen
Thesis (B.S.)--Massachusetts Institute of Technology, Dept. of Physics; and, (B.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1979.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.; Includes bibliographical references.
Mon, 01 Jan 1979 00:00:00 GMThttp://hdl.handle.net/1721.1/1195851979-01-01T00:00:00ZAbelian algebras and adjoint orbits
http://hdl.handle.net/1721.1/118816
Abelian algebras and adjoint orbits
Gupta, Ranee Kathryn
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1981.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.; Bibliography: leaves 79-81.
Thu, 01 Jan 1981 00:00:00 GMThttp://hdl.handle.net/1721.1/1188161981-01-01T00:00:00ZLocalization at b₁₀ in the stable category of comodules over the Steenrod reduced powers
http://hdl.handle.net/1721.1/117884
Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers
Belmont, Eva Kinoshita
Chromatic localization can be seen as a way to calculate a particular infinite piece of the homotopy of a spectrum. For example, the (finite) chromatic localization of a p-local sphere is its rationalization, and the corresponding chromatic localization of its Adams E2 page recovers just the zero-stem. We study a different localization of Adams E2 pages for spectra, which recovers more information than the chromatic localization. This approach can be seen as the analogue of chromatic localization in a category related to the derived category of comodules over the dual Steenrod algebra, a setting in which Palmieri has developed an analogue of chromatic homotopy theory. We work at p = 3 and compute the E2 page and first nontrivial differential of a spectral sequence converging to ... (where P is the Steenrod reduced powers), and give a complete calculation of other localized Ext groups, including ...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.; Cataloged from PDF version of thesis.; Includes bibliographical references (pages 157-159).
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/1721.1/1178842018-01-01T00:00:00ZLocal-to-Global extensions for wildly ramified covers of curves
http://hdl.handle.net/1721.1/117883
Local-to-Global extensions for wildly ramified covers of curves
Bell, Renee Hyunjeong
Given a Galois cover of curves X --> Y with Galois group G which is totally ramified at a point x and unramified elsewhere, restriction to the punctured formal neighborhood of x induces a Galois extension of Laurent series rings k((u))/k((t)). If we fix a base curve Y, we can ask when a Galois extension of Laurent series fields comes from a global cover of Y in this way. Harbater proved that over a separably closed field, every Laurent series extension comes from a global cover for any base curve if G is a p-group, and he gave a condition for the uniqueness of such an extension. Using a generalization of Artin-Schreier theory to non-abelian p-groups, we characterize the curves Y for which this extension property holds and for which it is unique up to isomorphism, but over a more general ground field.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.; Cataloged from PDF version of thesis.; Includes bibliographical references (page 41).
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/1721.1/1178832018-01-01T00:00:00Z