$\hat{G}$-local systems on smooth projective curves are potentially automorphic

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

Totally Reflexive Modules Constructed from Smooth Projective Curves of Genus

In this paper, from an arbitrary smooth projective curve of genus at least two, we construct a non-Gorenstein Cohen-Macaulay normal domain and a nonfree totally reflexive module over it.

متن کامل

On Critical Values of L-functions of Potentially Automorphic Motives

In this paper we prove a version of Deligne’s conjecture for potentially automorphic motives, twisted by certain algebraic Hecke characters. The Hecke characters are chosen in such a way that we can use automorphic methods in the context of totally definite unitary groups.

متن کامل

Regularity Results for Families of Nodal Curves on Smooth Projective Threefolds and Postulation of Nodes

Given X a smooth projective threefold, E a rank-two vector bundle on X and k, δ two positive integers, we determine effective and uniform upper-bounds for δ, which are linear polynomials in k, such that the family Vδ(E(k)), parametrizing irreducible and δ-nodal curves which are zero-loci of global sections of the vector bundle E(k) on X, is smooth and of the expected dimension (regular, for sho...

متن کامل

Complete subvarieties in moduli spaces of rank 2 stable sheaves on smooth projective curves and surfaces

The aim of this paper is to prove the existence of large complete subvarieties in moduli spaces of rank two stable sheaves with arbitrary c1 and sufficiently large c2, on algebraic surfaces. Then we study the restriction of these sheaves to curves of high degree embedded in the surface. In the final section we gives a relation with the spin strata defined by Pidstrigach and Tyurin.

متن کامل

Non-trivial Linear Systems on Smooth Plane Curves

Let C be a smooth plane curve of degree d defined over an algebraically closed field k. In [10], while studying space curves, Max Noether considered the following question. For n ∈ Z≥1 find l(n) ∈ Z≥0 such that there exists a linear system g l(n) n on C but no linear system g l(n)+1 n and classify those linear systems g l(n) n on C. The arguments given by Noether in the answer to this question ...

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: Acta Mathematica

سال: 2019

ISSN: 0001-5962,1871-2509

DOI: 10.4310/acta.2019.v223.n1.a1