9780691216461 - Supersingular P-adic L-functions, Maass-shimura Operators and Waldspurger Formulas: Ams-212 (Annals of Mathematics Studies, 212) von Kriz, Daniel J. (10 Ergebnisse)

Zustand: New.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Zustand: New.

Zustand: New. 2021. Paperback. . . . . . Books ship from the US and Ireland.

Paperback. Zustand: Brand New. 240 pages. 9.00x6.00x0.75 inches. In Stock.

Zustand: New. &Uumlber den AutorDaniel J. Kriz.

Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 276 | Sprache: Englisch | Produktart: Bücher | "A groundbreaking contribution to number theory that unifies classical and modern results This 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." --.

Taschenbuch. Zustand: Neu. Neuware - 'A groundbreaking contribution to number theory that unifies classical and modern results This 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.'.

Zustand: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide.