Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Unitary cycles on Shimura curves and the Shimura lift. I
View through CrossRef
This paper concerns two families of divisors, which we call the 'orthogonal' and 'unitary' special cycles, defined on integral models of Shimura curves. The orthogonal family was studied extensively by Kudla-Rapoport-Yang, who showed that they are closely related to the Fourier coefficients of modular forms of weight 3/2, while the unitary divisors are analogues of cycles appearing in more recent work of Kudla-Rapoport on unitary Shimura varieties. Our main result relates these two families by (a formal version of) the Shimura lift.
European Mathematical Society - EMS - Publishing House GmbH
Title: Unitary cycles on Shimura curves and the Shimura lift. I
Description:
This paper concerns two families of divisors, which we call the 'orthogonal' and 'unitary' special cycles, defined on integral models of Shimura curves.
The orthogonal family was studied extensively by Kudla-Rapoport-Yang, who showed that they are closely related to the Fourier coefficients of modular forms of weight 3/2, while the unitary divisors are analogues of cycles appearing in more recent work of Kudla-Rapoport on unitary Shimura varieties.
Our main result relates these two families by (a formal version of) the Shimura lift.
Related Results
Fundamental study on rope vibration suppression by middle transfer floor using risk information
Fundamental study on rope vibration suppression by middle transfer floor using risk information
Lifts are essential for means of vertical transportation. Recently, the lifts installed in the high-rise buildings are long travel, thus the lift ropes are becoming longer. The nat...
Inverse Jacobian and related topics for certain superelliptic curves
Inverse Jacobian and related topics for certain superelliptic curves
Given an elliptic curve E over the complex numbers (CC) given by y^2 = x^3 + ax + b, there exists a lattice L in CC such that the group E(CC) of complex points on E is isomorphic ...
Gas Lift Journey to Maximize the Asset Value in Platong Field, Gulf of Thailand
Gas Lift Journey to Maximize the Asset Value in Platong Field, Gulf of Thailand
Abstract
Operating Platong field in the Gulf of Thailand (GoT) is challenging because of the small compartmentalized reservoirs in the fluvial deposition environm...
Monitoring Offshore Lift Dynamics
Monitoring Offshore Lift Dynamics
ABSTRACT
This paper illustrates the significance of lift dynamic aspects observed during two major offshore heavy lift operations performed in 1991. Extensive off...
Gas Lift - Past & Future
Gas Lift - Past & Future
Abstract
This paper will describe the evolution of gas lift systems over the past few decades, making parallels with other artificial lift technologies (ESP, SRP, an...
Pig Lift: A New Artificial Lift Method
Pig Lift: A New Artificial Lift Method
Abstract
Artificial lift of oil wells is a fairly broad subject. There are many different methods available but in a few cases none of them turns out to be a fit ...
Investigation of multiple lift-tube air-lift pumps: Experimental evaluation and predictive modelling
Investigation of multiple lift-tube air-lift pumps: Experimental evaluation and predictive modelling
Due to limited pumping capability the commercial use of the single lift-tube air-lift pump has been confined to very little applications. To overcome the limited pumping capability...
Artificial Lift, A Major Unresolved Issue for SAGD
Artificial Lift, A Major Unresolved Issue for SAGD
Abstract
Most SAGD projects currently operate at high enough pressure to utilize steam/gas lift. However, there are expected to be many applications where lower p...