Twists of Kisin modules and Galois representations Sample Clauses

Twists of Kisin modules and Galois representations. We now wish to relate twisting our Galois extensions to twists of Kisin modules. First recall we have a functor TS from Kisin modules to G∞-modules. By the exactness of TS we obtain a commutative diagram: Ext1(M1, M2) Ext1(M′1, M′2) Ext1(TS(M1), TS(M2)) ∼ Ext1(TS(M1′ ), TS(M′2)) Figure 1. Commutative diagram of extension spaces. where the isomorphism on the bottom is obtained by twisting any extension by TS(M′).
AutoNDA by SimpleDocs

Related to Twists of Kisin modules and Galois representations

  • CONTRACTOR’S REPRESENTATIONS 8.01 In order to induce Owner to enter into this Contract, Contractor makes the following representations:

  • Customer Representations Customer hereby represents and warrants that:

  • Client Representations Client represents and warrants to Consultant that;

  • Contractor’s Representations and Warranties Contractor represents and warrants that neither the execution of this Agreement by Contractor, nor the acts contemplated hereby, nor compliance by Contractor with any provisions hereof will:

  • CERTIFICATIONS, REPRESENTATIONS and WARRANTIES Consultant makes the following certifications, representations, and warranties for the benefit of the District and Consultant acknowledges and agrees that the District, in deciding to engage Consultant pursuant to this Agreement is relying upon the truth and validity of the following certifications, representations and warranties and their effectiveness throughout the term of this Agreement and the course of Consultant's engagement hereunder:

  • Defendant’s Representations The defendant acknowledges that he has entered into this plea agreement freely and voluntarily after receiving the effective assistance, advice and approval of counsel. The defendant acknowledges that he is satisfied with the assistance of counsel, and that counsel has fully advised him of his rights and obligations in connection with this plea agreement. The defendant further acknowledges that no threats or promises, other than the promises contained in this plea agreement, have been made by the United States, the Court, his attorneys or any other party to induce him to enter his plea of guilty.

  • Client’s Representations and Warranties Client hereby represents and warrants to Adviser that: (i) Client has the requisite legal capacity and authority to execute, deliver and to perform its obligations under this Agreement; (ii) this Agreement has been duly authorized, executed and delivered by Client and is the legal, valid and binding agreement of Client, enforceable against Client in accordance with its terms; (iii) Client’s execution of this Agreement and the performance of its obligations hereunder do not conflict with or violate any provisions of the governing documents of Client or any obligations by which Client is bound, whether arising by contract, operation of law or otherwise; (iv) Client will deliver to Adviser evidence of Client’s authority in compliance with such governing documents upon Adviser’s request; and (v) the Client is the owner of all cash, Investments and other assets in the Account, and there are no restrictions on the pledge, hypothecation, transfer, sale or public distribution of such cash, securities or assets.

  • Investment Representations (i) The Purchaser is acquiring the Private Placement Warrants and, upon exercise of the Private Placement Warrants, the Shares issuable upon such exercise (collectively, the “Securities”), for the Purchaser’s own account, for investment purposes only and not with a view towards, or for resale in connection with, any public sale or distribution thereof.

  • Company’s Representations and Warranties In order to induce Lenders to enter into this Amendment and to amend the Credit Agreement in the manner provided herein, Company represents and warrants to each Lender that the following statements are true, correct and complete:

  • Company Representations (a) The Company is a corporation duly organized, validly existing and in good standing under the laws of the state of its incorporation, and has the power and authority to own, lease and operate its properties and carry on its business as now conducted.

Time is Money Join Law Insider Premium to draft better contracts faster.