Modular forms of weight $3m$ and elliptic modular surfaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Elliptic modular forms

1 SL2(Z) and elliptic curves 2 1.1 SL2(Z) and the moduli of complex tori . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The Fundamental region and a system of generators . . . . . . . . . . . . . . . . . . . . . 3 1.3 The Weierstrass ℘ function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Nonsingular cubics and the invariant j . . . . . . . . . . . ...

متن کامل

Elliptic Curves and Modular Forms

This is an exposition of some of the main features of the theory of elliptic curves and modular forms.

متن کامل

Modular forms and K3 surfaces

For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over Q associated to the form. This answers a question asked independently by Mazur and van Straten. The proof builds on a classification of CM forms by the second author.

متن کامل

Level-one elliptic modular forms

[1] Traditional terminology is that f → f |2kγ is the slash operator, although this name fails to suggest any meaning other than reference to the notation itself. In fact, obviously f(z)→ f(γz)(cz + d)−2k is a left translation operator, albeit complicated by the automorphy factor. That is, this is a right action of SL2(Z) on functions on H, while the group action of SL2(Z) on H is written on th...

متن کامل

Intersections of Higher-weight Cycles over Quaternionic Modular Surfaces and Modular Forms of Nebentypus

In 1976 Hirzebruch and Zagier [6] computed the pairwise intersection multiplicities for a family of algebraic cycles (T£)n(EN in the Hubert modular surface associated to Q(yp), where p is a prime congruent to 1 mod 4, and showed that the generating function for those intersection multiplicities Yln°=oC^m 'T£)e[nr] was an elliptic modular form of weight 2 and Nebentypus for To(p). Shortly afterw...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 2019

ISSN: 0386-2194

DOI: 10.3792/pjaa.95.31