Show simple item record

dc.identifier.urihttp://hdl.handle.net/11401/78112
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degreeen_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.typeDissertation
dcterms.abstractA. 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.
dcterms.available2018-03-22T22:39:00Z
dcterms.contributorStarr, Jason M.en_US
dcterms.contributorKirillov, Alexander A.en_US
dcterms.contributorde Cataldo, Mark A. A.en_US
dcterms.contributorRo?ek, Martin.en_US
dcterms.creatorZhang, Dingxin
dcterms.dateAccepted2018-03-22T22:39:00Z
dcterms.dateSubmitted2018-03-22T22:39:00Z
dcterms.descriptionDepartment of Mathematics.en_US
dcterms.extent60 pg.en_US
dcterms.formatApplication/PDFen_US
dcterms.formatMonograph
dcterms.identifierhttp://hdl.handle.net/11401/78112
dcterms.issued2017-08-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2018-03-22T22:39:00Z (GMT). No. of bitstreams: 1 Zhang_grad.sunysb_0771E_13364.pdf: 660104 bytes, checksum: 0b41d479fee95caad88e654981544c56 (MD5) Previous issue date: 2017-08-01en
dcterms.subjectMathematics
dcterms.titleDegeneration of slopes
dcterms.typeDissertation


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record