Hebrew University
 
Amitsur Algebra Seminar
*****************************
 
Time: Thursday, January 6, at 12:00.
Place: room 209, Mathematics building
 
Speaker: Darrell Eugene Haile
 
Title: The Clifford algebra of a quartic curve of genus one
 
Abstract.
This is joint work with Ilseop Han. For each irreducible quartic f over a
field k, we construct a k-algebra A_f associated to the hyperelliptic affine
curve C:y^2=f(x). We prove that A_f has many interesting properties. For
example it is an Azumaya algebra of rank 4 over its center and its center is
the coordinate ring of the affine elliptic curve E related to the Jacobian
of C. Each simple image of A_f is a quaternion algebra. The simple images
with center k then come from the rational points on E and the resulting
function from the group of rational points on E to the Brauer group of k is
a group homomorphism. We also prove that A_f is split if and only if the
curve C has a k-rational point.
 
You are cordially invited!
 <http://math.huji.ac.il/amitsur.html>
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Gili Schul   <gili.schul@mail.huji.ac.il>