RELATIVE SUPPORT VARIETIES

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

Relative Support Varieties

We define relative support varieties with respect to some fixed module over a finite dimensional algebra. These varieties share many of the standard properties of classical support varieties. Moreover, when introducing finite generation conditions on cohomology, we show that relative support varieties contain homological information on the modules involved. As an application, we provide a new c...

متن کامل

Twisted Support Varieties

We define and study twisted support varieties for modules over an Artin algebra, where the twist is induced by an automorphism of the algebra. Under a certain finite generation hypothesis we show that the twisted variety of a module satisfies Dade’s Lemma and is one dimensional precisely when the module is periodic with respect to the twisting automorphism. As a special case we obtain results o...

متن کامل

Support Varieties for Quantum Groups

Given a root datum (Y,X, . . . ) and an odd integer l G.Lusztig defined a finite-dimensional Hopf algebra u over the cyclotomic field k := Q(ξ) where ξ is a primitive l−th root of unity, see [Lu1]. Suppose that l > h where h is the Coxeter number of the split reductive Lie algebra g over k associated to the root datum (Y,X, . . . ). In this case the cohomology H(u, k) of algebra u with trivial ...

متن کامل

Weil Restriction and Support Varieties

This paper extends the comparison results for cohomological support varieties for Chevalley groups of the form G(Fp) established by J. Carlson, Z. Lin, and D. Nakano to Chevalley groups of the form G(Fpd). Other topics considered are complexity and non-maximal support varieties for modules. Techniques developed by J. Pevtsova and the author, together with the use of Weil restriction functors, a...

متن کامل

The Support Problem for Abelian Varieties

Let A be an abelian variety over a number field K. If P and Q are K-rational points of A such that the order of the (mod p) reduction of Q divides the order of the (mod p) reduction of Q for almost all primes (mod p), then there exists a K-endomorphism φ of A and a positive integer k such that kQ = φ(P). In this paper, we solve the support problem for abelian varieties over number fields, thus ...

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: The Quarterly Journal of Mathematics

سال: 2008

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qmath/han032