arXiv subjects
Publications and source records attributed to Harpreet Bedi.
Perfectoid versions of Abel Jacobi and Reimann Roch Theorem are proved, and perfectoid Elliptic Curve is constructed. A Perfectoid Tate Curve is defined and its cohomology computed via a Čech complex. Furthermore, perfectoid Theta function and Weierstraß series are also defined and suitably interpreted.
Line bundles of rational degree are defined using Perfectoid spaces, and their co-homology computed via standard Čech complex along with Kunneth formula. A new concept of `braided dimension' is introduced, which helps convert the curse of infinite dimensionality into a boon, which is then used to do Bezout type computations, define euler characters, describe ampleness and link integer partitions with geometry. This new concept of 'Braided dimension' gives a space within a space within a space an infinite tower of spaces, all intricately braided into each other. Finally, the concept of Blow Up over perfectoid space is introduced.