Nettet1931, Hodge assimilated de Rham’s theorem and defined the Hodge star operator. It would allow him to define harmonic forms and so fine the de Rham theory. Hodge’s … NettetMaking such a choice of ε(n) is like choosing an orientation in p-adic Hodge theory, in the same way that choosing one of ±iis like choosing an orientation in classical geometry. Here are the various fields that we are considering: F⊂ z G} K {K ⊂K{zn ⊂K∞} ΓK = K ∞ ⊂{zF= K} HK ⊂C Let GK be the Galois group Gal(K/K).
p-adic Hodge theory, deformations and local Langlands
Nettet9. feb. 2016 · Integral p-adic Hodge theory. Bhargav Bhatt, Matthew Morrow, Peter Scholze. We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of C_p. It takes values in a mixed-characteristic analogue of Dieudonne modules, which was previously defined by Fargues as a version of Breuil-Kisin modules. Nettet31. jul. 2024 · DOI: 10.1002/mana.202400287 Corpus ID: 199001157; Hodge cohomology on blow‐ups along subvarieties @article{Rao2024HodgeCO, title={Hodge cohomology on blow‐ups along subvarieties}, author={Sheng Rao and Song Yang and Xiangdong Yang and Xun Yu}, journal={Mathematische Nachrichten}, year={2024} } hall optometrist
(PDF) Hodge Theory and Complex Algebraic Geometry II (2003)
NettetAN INTRODUCTION TO p-ADIC HODGE THEORY DENIS BENOIS Abstract.These notes provide an introduction to p-adic Hodge theory. They are based on the series of … NettetHodge structure is polarizable if it possesses a polarization. The following fact is an easy generalization of the Poincar e reduciblity theorem. Proposition 1.6. The category of … NettetThe reason for the name p-adic Hodge theory comes from the above motivation. The main issue in nding these comparison theorems is nding the correct period ring. The obvious answer would be to work with Kb, but we will soon see that this ring is not su cient. We rst recall in more detail one of the comparison theorems from Hodge theory. hallo ps2