Admissible complexes Clause Samples

Admissible complexes. ‌ In this section, we will define the category of ‘admissible complexes’ which will be studied in detail in this thesis. We will give examples of objects in this category that arise naturally from the arithmetic context in the next section. At the outset, we fix a Dedekind domain R of characteristic 0 with field of fractions F and a commutative R-order A that spans a separable F -algebra A := F ⊗R A. 2.3.1 The key definitions‌ 2.3.1. The category Da(A) of ‘admissible perfect complexes of A-modules’ is defined to be the full subcategory of D(A) comprising complexes C = (Ci)i∈Z that satisfy the following four conditions:
Admissible complexes. ‌ In this subsection we describe the relevance of the maps Π𝐶•,𝑓 and Θ𝐶•,𝑓 to the arithmetic setting. To do this we first make the following definition:

Related to Admissible complexes

  • Waiver of Inventory, Accounting and Appraisal Requirement The Trustee shall be relieved of, and each Certificateholder hereby waives, any requirement of any jurisdiction in which the Trust, or any part thereof, may be located that the Trustee file any inventory, accounting or appraisal of the Trust with any court, agency or body at any time or in any manner whatsoever.

  • Production Report and Lease Operating Statements Within 60 days after the end of each fiscal quarter, a report setting forth, for each calendar month during the then current fiscal year to date, the volume of production and sales attributable to production (and the prices at which such sales were made and the revenues derived from such sales) for each such calendar month from the Oil and Gas Properties, and setting forth the related ad valorem, severance and production taxes and lease operating expenses attributable thereto and incurred for each such calendar month.

  • Environmental Concerns 38.7.8.1 In the worse case scenario, many environmental concerns must be addressed. Along with the police and fire marshal, the state environmental protection department will be on site to monitor the situation. 38.7.8.2 Items to be concerned with in a large central office building could include: 38.7.8.2.1 Emergency engine fuel supply. Damage to the standby equipment and the fuel handling equipment could have created “spill” conditions that have to be handled within state and federal regulations. 38.7.8.2.2 Asbestos-containing materials that may be spread throughout the wreckage. Asbestos could be in many components of building, electrical, mechanical, outside plant distribution, and telephone systems.

  • Apportionment and Application (i) So long as no Application Event has occurred and is continuing and except as otherwise provided herein with respect to Defaulting Lenders, all principal and interest payments received by Agent shall be apportioned ratably among the Lenders (according to the unpaid principal balance of the Obligations to which such payments relate held by each Lender) and all payments of fees and expenses received by Agent (other than fees or expenses that are for Agent’s separate account or for the separate account of Issuing Bank) shall be apportioned ratably among the Lenders having a Pro Rata Share of the type of Commitment or Obligation to which a particular fee or expense relates. Subject to Section 2.4(b)(iv), Section 2.4(d)(ii), and Section 2.4(e), all payments to be made hereunder by Borrowers shall be remitted to Agent and all such payments, and all proceeds of Collateral received by Agent, shall be applied, so long as no Application Event has occurred and is continuing and except as otherwise provided herein with respect to Defaulting Lenders, to reduce the balance of the Revolving Loans outstanding and, thereafter, to Borrowers (to be wired to the Designated Account) or such other Person entitled thereto under applicable law. (ii) At any time that an Application Event has occurred and is continuing and except as otherwise provided herein with respect to Defaulting Lenders, all payments remitted to Agent and all proceeds of Collateral received by Agent shall be applied as follows: (A) first, to pay any Lender Group Expenses (including cost or expense reimbursements) or indemnities then due to Agent under the Loan Documents, until paid in full, (B) second, to pay any fees or premiums then due to Agent under the Loan Documents until paid in full, (C) third, to pay interest due in respect of all Protective Advances until paid in full, (D) fourth, to pay the principal of all Protective Advances until paid in full, (E) fifth, ratably, to pay any Lender Group Expenses (including cost or expense reimbursements) or indemnities then due to any of the Lenders under the Loan Documents, until paid in full, (F) sixth, ratably, to pay any fees or premiums then due to any of the Lenders under the Loan Documents until paid in full, (G) seventh, to pay interest accrued in respect of the Swing Loans until paid in full, (H) eighth, to pay the principal of all Swing Loans until paid in full, (I) ninth, ratably, to pay interest accrued in respect of the Revolving Loans (other than Protective Advances) and the Term Loan until paid in full, (J) tenth, ratably (i) to pay the principal of all Revolving Loans until paid in full, (ii) to Agent, to be held by Agent, for the benefit of Issuing Bank (and for the ratable benefit of each of the Lenders that have an obligation to pay to Agent, for the account of Issuing Bank, a share of each Letter of Credit Disbursement), as cash collateral in an amount up to 105% of the Letter of Credit Usage (to the extent permitted by applicable law, such cash collateral shall be applied to the reimbursement of any Letter of Credit Disbursement as and when such disbursement occurs and, if a Letter of Credit expires undrawn, the cash collateral held by Agent in respect of such Letter of Credit shall, to the extent permitted by applicable law, be reapplied pursuant to this Section 2.4(b)(ii), beginning with tier (A) hereof), (iii) ratably, to the Bank Product Providers based upon amounts then certified by the applicable Bank Product Provider to Agent (in form and substance satisfactory to Agent) to be due and payable to such Bank Product Providers on account of Bank Product Obligations, and (iv) to pay the outstanding principal balance of the Term Loan (in the inverse order of the maturity of the installments due thereunder) until the Term Loan is paid in full, (K) eleventh, to pay any other Obligations other than Obligations owed to Defaulting Lenders, (L) twelfth, ratably to pay any Obligations owed to Defaulting Lenders; and (M) thirteenth, to Borrowers (to be wired to the Designated Account) or such other Person entitled thereto under applicable law. (iii) Agent promptly shall distribute to each Lender, pursuant to the applicable wire instructions received from each Lender in writing, such funds as it may be entitled to receive, subject to a Settlement delay as provided in Section 2.3(e). (iv) In each instance, so long as no Application Event has occurred and is continuing, Section 2.4(b)(i) shall not apply to any payment made by Borrowers to Agent and specified by Borrowers to be for the payment of specific Obligations then due and payable (or prepayable) under any provision of this Agreement or any other Loan Document. (v) For purposes of Section 2.4(b)(ii), “paid in full” of a type of Obligation means payment in cash or immediately available funds of all amounts owing on account of such type of Obligation, including interest accrued after the commencement of any Insolvency Proceeding, default interest, interest on interest, and expense reimbursements, irrespective of whether any of the foregoing would be or is allowed or disallowed in whole or in part in any Insolvency Proceeding. (vi) In the event of a direct conflict between the priority provisions of this Section 2.4 and any other provision contained in this Agreement or any other Loan Document, it is the intention of the parties hereto that such provisions be read together and construed, to the fullest extent possible, to be in concert with each other. In the event of any actual, irreconcilable conflict that cannot be resolved as aforesaid, if the conflict relates to the provisions of Section 2.3(g) and this Section 2.4, then the provisions of Section 2.3(g) shall control and govern, and if otherwise, then the terms and provisions of this Section 2.4 shall control and govern.

  • Scope of Cooperation 1. The Authorities recognise the importance of close communication concerning the Covered CCPs and intend to cooperate regarding: a) general issues, including with respect to regulatory, supervisory, enforcement or other developments concerning the Covered CCPs and Australia; b) issues relevant to the operations, activities and services of the Covered CCPs; c) the coordination of supervisory activities and, where appropriate and consistent with applicable laws and each Authority’s mandate, providing assistance in the implementation of enforcement decisions; d) any other areas of mutual interest. 2. The Authorities recognise in particular the importance of close cooperation in the event that a Covered CCP, particularly one whose failure likely would be systemically important to an Authority, experiences, or is threatened by, a potential financial crisis or other Emergency Situation. One or both of the Local Authorities should provide notification to ESMA, and ESMA should provide notification to the Local Authorities, consistent with Article 3(4) below and each Authority should keep the other Authorities appropriately informed throughout the Emergency Situation. The Local Authorities should coordinate and lead in an Emergency Situation and should consult with and take account of the views of ESMA to the greatest extent practicable. ESMA should coordinate with the relevant CBI(s) regarding an Emergency Situation of a Covered CCP and any emergency measures that the CBI may consider appropriate. 3. Cooperation will be most useful in circumstances where issues of regulatory, supervisory or enforcement concern may arise, including but not limited to: a) the initial application of a Covered CCP for recognition in the European Union pursuant to Article 25 of EMIR and the periodic reviews of its recognition pursuant to Article 25(5) of EMIR; b) ESMA’s assessment of compliance and monitoring of the ongoing compliance by a Covered CCP with the Recognition Conditions; c) the tiering determination of a Covered CCP by ESMA pursuant to Article 25(2a) of EMIR; d) changes in a Covered CCP's internal rules, policies and procedures that could affect the way in which the Covered CCP complies with any Recognition Conditions; e) regulatory, supervisory or enforcement actions or approvals taken by a Local Authority or ESMA in relation to a Covered CCP, including changes to the relevant obligations and requirements to which the Covered CCPs are subject that may impact the Covered CCPs' continued compliance with the Recognition Conditions; and f) changes to regulatory status or requirements that could result in a change in the regulatory status of, relief granted to, or supervisory treatment of a Covered CCP and potentially could disrupt cross-border clearing arrangements.