Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas
Language: English
Published by Princeton University Press, US, 2021
- Softcover
- New
Seller: Rarewaves USA United, HEBRON, KY, U.S.A.Rarewaves USA United
AbeBooks seller since June 20, 2025
Condition: New
£ 73.02
Quantity: Over 20 available
Add to basketItem description from seller
A groundbreaking contribution to number theory that unifies classical and modern resultsThis book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus. The main novelty is to move to infinite level and extend coefficients to period sheaves coming from relative p-adic Hodge theory. This makes it possible to trivialize the Hodge bundle on the infinite-level modular curve by a "canonical differential" that restricts to the Katz canonical differential on the ordinary Igusa tower. Daniel Kriz defines generalized p-adic modular forms as sections of relative period sheaves transforming under the Galois group of the modular curve by weight characters. He introduces the fundamental de Rham period, measuring the position of the Hodge filtration in relative de Rham cohomology. This period can be viewed as a counterpart to Scholze's Hodge-Tate period, and the two periods satisfy a Legendre-type relation. Using these periods, Kriz constructs splittings of the Hodge filtration on the infinite-level modular curve, defining p-adic Maass-Shimura operators that act on generalized p-adic modular forms as weight-raising operators. Through analysis of the p-adic properties of these Maass-Shimura operators, he constructs new p-adic L-functions interpolating central critical Rankin-Selberg L-values, giving analogues of the p-adic L-functions of Katz, Bertolini-Darmon-Prasanna, and Liu-Zhang-Zhang for imaginary quadratic fields in which p is inert or ramified. These p-adic L-functions yield new p-adic Waldspurger formulas at special values. …
Seller Inventory # LU-9780691216461
- Title
- Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas
- Author
- Daniel Kriz
- Publisher
- Princeton University Press, US
- Publication year
- 2021
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0691216460
- ISBN 13
- 9780691216461
- Item weight
- 431 grams
- Series
- Book 202 of 202: Annals of Mathematics Studies
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Rarewaves USA United
HEBRON, KY, U.S.A.
AbeBooks seller since June 20, 2025
Shipping rates within U.S.A.
| Item | 30 to 30 business days | 14 to 14 business days |
|---|---|---|
| First item | £ 37.78 | £ 50.63 |
Payment methods
Seller's business information
Rarewaves USA
10100 West Sample Road, Ste 101
Coral Springs, FL U.S.A. 33065
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Rarewaves USA United, Coral Springs, Florida, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Please note that we do not offer Priority shipping to any country.
We currently do not ship to the below countries:
Afghanistan
Bhutan
Brazil
Brunei Darussalam
Channel Islands
Chile
Israel
Lao
Mexico
Russian Federation
Saudi Arabia
South Africa
Yemen
Please do not attempt to place orders with any of these countries as a ship to address - they will be cancelled.