Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 7 of 7 for “"Shimura Varieties"”.
-
Special fibers of Shimura varieties in the Torelli locus
Made available in DSpace on 2021-09-17T01:11:02Z (GMT). No. of bitstreams: 3 DONEPUDI-DISSERTATION-2021.pdf: 517562 bytes, checksum: 7c80a88ec88901b1db161f88a523759f (MD5) LICENSE.txt: 4216 bytes, checksum: 825e40fd49bbd451ec9cdc84e996a600 (MD5) PROQUEST_LICENSE.txt: 4562 bytes, checksum: …
-
The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
… filtration on the cohomology of Hilbert modular varieties in the spirit of Nekov\'a\v r and Scholl. This is achieved with the help of Morel's work on weight t-structures and a detailed study of partial Frobenius. We prove in particular that the partial Frobenius extends to toroidal and minimal …
-
Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels
… modularity of arithmetic theta series on unitary Shimura varieties at general levels, which is based on modifications and uniformizations over vertical fibers. We carry out the method at maximal parahoric levels and obtain new arithmetic modularity results. We study the mod 𝑝 geometry of related …
-
Plectic arithmetic of Hilbert modular varieties
… components, and on the set of cocharacters of Shimura varieties that differ in the centre from the Hilbert modular variety. By allowing the centre to vary, we extend the plectic framework of Nekovář--Scholl to include such Shimura varieties, thereby also bridging the gap to earlier work of …
-
Co-rank 1 Arithmetic Siegel--Weil
… on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic dimension. We also propose a construction for arithmetic special cycle classes associated to possibly singular matrices of arbitrary co-rank. Our arithmetic Siegel–Weil formula implies that …
-
Arithmetic inner product formula for unitary groups
… with the canonical height of special cycles on Shimura varieties attached to unitary groups of the same size. We formulate a precise conjecture about an arithmetic analogue of the classical Rallis' inner product formula, which we call arithmetic inner product formula, and confirm it for unitary …
-
Antisymmetry in the theory of rigid meromorphic cocycles
… play the role of special cycles on orthogonal Shimura varieties in the classical Kudla program. A crucial ingredient for this result is the observation that every invertible rigid analytic function on the product of two copies of the p-adic upper half plane is the product of two invertible …