|
Books > Science & Mathematics > Mathematics > Algebra
|
Buy Now
Nonabelian Jacobian of Projective Surfaces - Geometry and Representation Theory (Paperback, 2013 ed.)
Loot Price: R1,557
Discovery Miles 15 570
|
|
|
Nonabelian Jacobian of Projective Surfaces - Geometry and Representation Theory (Paperback, 2013 ed.)
Series: Lecture Notes in Mathematics, 2072
Expected to ship within 10 - 15 working days
|
The Jacobian of a smooth projective curve is undoubtedly one of the
most remarkable and beautiful objects in algebraic geometry. This
work is an attempt to develop an analogous theory for smooth
projective surfaces - a theory of the nonabelian Jacobian of smooth
projective surfaces. Just like its classical counterpart, our
nonabelian Jacobian relates to vector bundles (of rank 2) on a
surface as well as its Hilbert scheme of points. But it also comes
equipped with the variation of Hodge-like structures, which
produces a sheaf of reductive Lie algebras naturally attached to
our Jacobian. This constitutes a nonabelian analogue of the
(abelian) Lie algebra structure of the classical Jacobian. This
feature naturally relates geometry of surfaces with the
representation theory of reductive Lie algebras/groups. This work's
main focus is on providing an in-depth study of various aspects of
this relation. It presents a substantial body of evidence that the
sheaf of Lie algebras on the nonabelian Jacobian is an efficient
tool for using the representation theory to systematically address
various algebro-geometric problems. It also shows how to construct
new invariants of representation theoretic origin on smooth
projective surfaces.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
