{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Degeneration of slopes","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree"},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/11401/78112"},{"label":"dc.language.iso","value":"en_US"},{"label":"dcterms.abstract","value":"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 \u201cgeneric higher direct images\u201d for a singular morphism, using the convergent topoi."},{"label":"dcterms.available","value":"2018-03-22T22:39:00Z"},{"label":"dcterms.contributor","value":"Kirillov, Alexander A."},{"label":"dcterms.creator","value":"Zhang, Dingxin"},{"label":"dcterms.dateAccepted","value":"2018-03-22T22:39:00Z"},{"label":"dcterms.dateSubmitted","value":"2018-03-22T22:39:00Z"},{"label":"dcterms.description","value":"Department of Mathematics."},{"label":"dcterms.extent","value":"60 pg."},{"label":"dcterms.format","value":"Monograph"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/11401/78112"},{"label":"dcterms.issued","value":"2017-08-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2018-03-22T22:39:00Z (GMT). No. of bitstreams: 1\nZhang_grad.sunysb_0771E_13364.pdf: 660104 bytes, checksum: 0b41d479fee95caad88e654981544c56 (MD5)\n  Previous issue date: 2017-08-01"},{"label":"dcterms.subject","value":"Mathematics"},{"label":"dcterms.title","value":"Degeneration of slopes"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/78%2F51%2F90%2F78519011720459818611346895185375471425/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/78%2F51%2F90%2F78519011720459818611346895185375471425","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}