منابع مشابه
Endomorphism algebras of Jacobians
where K is a subfield of even index at most 10 in a primitive cyclotomic field Q(ζp), or a subfield of index 2 in Q(ζpq) or Q(ζpα ). This result generalizes previous work of Brumer, Mestre, and Tautz-Top-Verberkmoes. Our curves are constructed as branched covers of the projective line, and the endomorphisms arise as quotients of double coset algebras of the Galois groups of these coverings. In ...
متن کاملEndomorphism Algebras of Superelliptic Jacobians
As usual, we write Z,Q,Fp,C for the ring of integers, the field of rational numbers, the finite field with p elements and the field of complex numbers respectively. If Z is a smooth algebraic variety over an algebraically closed field then we write Ω(Z) for the space of differentials of the first kind on Z. If Z is an abelian variety then we write End(Z) for its ring of (absolute) endomorphisms...
متن کاملEndomorphism algebras of Jacobians of certain supperelliptic curves
Let K be a field of characteristic zero, Ka its algebraic closure. We use letters X,Y, Z to denote smooth algebraic varieties over Ka. If X is an abelian variety overKa, we write End(X) for its ring of absolute endomorphisms, and End (X) for its endomorphism algebra End(X) ⊗ Q. Given abelian variety Y over Ka, we write Hom(X,Y ) for the group of all Ka-homomorphisms from X to Y . Let p ∈ N be a...
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Let K be a field with char(K) 6= 2. Let us fix an algebraic closure Ka of K. Let us put Gal(K) := Aut(Ka/K). If X is an abelian variety of positive dimension over Ka then we write End(X) for the ring of all its Ka-endomorphisms and End (X) for the corresponding (semisimple finite-dimensional) Q-algebra End(X)⊗ Q. We write EndK(X) for the ring of all K-endomorphisms of X and End 0 K(X) for the c...
متن کاملStratifying Endomorphism Algebras Associated to Hecke Algebras
Let G be a nite group of Lie type and let k be a eld of characteristic distinct from the de ning characteristic of G. In studying the non-describing representation theory of G, the endomorphism algebra S(G;k) = EndkG( L J ind G PJ k) plays an increasingly important role. In type A, by work of Dipper and James, S(G; k) identi es with a q-Schur algebra and so serves as a link between the represen...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2001
ISSN: 0001-8708
DOI: 10.1006/aima.2001.1994