Download E-books Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics) PDF

By Jayce Getz, Mark Goresky

Within the Nineteen Seventies Hirzebruch and Zagier produced elliptic modular kinds with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those varieties by way of interval integrals and L-functions. during this publication the authors take an alternative method of those theorems and generalize them to the surroundings of Hilbert modular types of arbitrary size. The process is conceptual and makes use of instruments that weren't to be had to Hirzebruch and Zagier, together with intersection homology concept, houses of modular cycles, and base switch. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular kinds are offered either within the classical and adèlic settings. The publication may still supply a origin for coming near near comparable questions for different in the neighborhood symmetric areas.

Show description

Read or Download Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics) PDF

Best Algebraic Geometry books

Flips for 3-folds and 4-folds (Oxford Lecture Series in Mathematics and Its Applications)

This edited number of chapters, authored by way of prime specialists, offers a whole and primarily self-contained building of 3-fold and 4-fold klt flips. a wide a part of the textual content is a digest of Shokurov's paintings within the box and a concise, entire and pedagogical facts of the lifestyles of 3-fold flips is gifted.

An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)

An obtainable textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this booklet develops the language of algebraic geometry from scratch and makes use of it to establish the speculation of affine algebraic teams from first rules. construction at the heritage fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complex and specialized fabric.

Algebraic Geometry (Graduate Texts in Mathematics)

Word: merchandise do have huge Margins. An creation to summary algebraic geometry, with the single must haves being effects from commutative algebra, that are said as wanted, and a few uncomplicated topology. greater than four hundred workouts allotted during the publication supply particular examples in addition to extra specialized subject matters no longer handled in most cases textual content, whereas 3 appendices current short money owed of a few parts of present study.

Extra info for Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics)

Show sample text content

Rated 4.06 of 5 – based on 46 votes