Download E-books The Zeta Functions of Picard Modular Surfaces PDF

Even if they're primary gadgets within the conception of diophantine equations, the zeta-functions of Hasse-Weil aren't good understood. One huge type of types whose zeta-functions are maybe nearby are these hooked up to discrete teams, generically referred to as Shimura kinds. The concepts concerned are tough: illustration thought and harmonic research; the hint formulation and endoscopy; intersection cohomology and $L2$-cohomology; and abelian types with advanced multiplication.The least difficult Shimura kinds for which all attendant difficulties happen are these hooked up to unitary teams in 3 variables over imaginary quadratic fields, pointed out during this quantity as Picard modular surfaces. The members have supplied a coherent and thorough account of valuable rules and strategies, lots of that are novel and never formerly released.

Show description

Read Online or Download The Zeta Functions of Picard Modular Surfaces PDF

Best Algebraic Geometry books

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

This edited selection of chapters, authored through prime specialists, presents a whole and basically 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 ebook develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first rules. development at the historical past fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complicated and specialized fabric.

Algebraic Geometry (Graduate Texts in Mathematics)

Observe: 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 dispensed during the booklet supply particular examples in addition to extra specialized themes no longer taken care of mainly textual content, whereas 3 appendices current short debts of a few parts of present examine.

Additional resources for The Zeta Functions of Picard Modular Surfaces

Show sample text content

Rated 4.48 of 5 – based on 5 votes