Mohlo by se vám také líbit

Více informací o knize Intersections of Hirzebruch Zagier Divisors and CM Cycles

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 153 bodů

Anotace knihy

This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Number theory

• Plný název: Intersections of Hirzebruch Zagier Divisors and CM Cycles
• Autor: Benjamin Howard, Tonghai Yang
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 140
• EAN: 9783642239786
• ISBN: 3642239781
• ID: 01658832
• Nakladatelství: Springer, Berlin
• Hmotnost: 240 g
• Rozměry: 9 × 156 × 9 mm
• Rok vydání: 2012

Oblíbené z jiného soudku

---

---

---