Singularities of varieties admitting an endomorphism

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

ABELIAN SURFACES ADMITTING AN (l, l)-ENDOMORPHISM

We give a classification of all principally polarized abelian surfaces that admit an (l, l)-isogeny to themselves, and show how to compute all the abelian surfaces that occur. We make the classification explicit in the simplest case l = 2. As part of our classification, we also show how to find all principally polarized abelian surfaces with multiplication by a given imaginary quadratic order.

متن کامل

Endomorphism fields of abelian varieties

We give a sharp divisibility bound, in terms of g, for the degree of the field extension required to realize the endomorphisms of an abelian variety of dimension g over an arbitrary number field; this refines a result of Silverberg. This follows from a stronger result giving the same bound for the order of the component group of the Sato–Tate group of the abelian variety, which had been proved ...

متن کامل

Singularities of Generalized Richardson Varieties

Richardson varieties play an important role in intersection theory and in the geometric interpretation of the Littlewood-Richardson Rule for flag varieties. We discuss three natural generalizations of Richardson varieties which we call projection varieties, intersection varieties, and rank varieties. In many ways, these varieties are more fundamental than Richardson varieties and are more easil...

متن کامل

Computing endomorphism rings of abelian varieties of dimension two

Generalizing a method of Sutherland and the author for elliptic curves [5, 1], we design a subexponential algorithm for computing the endomorphism ring structure of ordinary abelian varieties of dimension two over finite fields. Although its correctness and complexity bound rely on several assumptions, we report on practical computations showing that it performs very well and can easily handle ...

متن کامل

Moduli of Supersingular Abelian Varieties with Endomorphism Structure

0 Introduction In this paper, we investigate the moduli space S g,L of supersingular abelian varieties X with endomorphism structure θ : O L → End(X) and O L-linear principal polarization, where O L is the ring of integers in an algebraic number field L with involution *. General existence of the coarse moduli scheme of polarized abelian varieties with endomorphism structure is shown by using t...

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: Mathematische Annalen

سال: 2014

ISSN: 0025-5831,1432-1807

DOI: 10.1007/s00208-014-1015-9