INVESTIGADORES
DICKENSTEIN Alicia Marcela
libros
Título:
Residues and Duality for Projective Algebraic Varieties
Autor/es:
E. KUNZ, WITH THE ASSISTANCE OF AND CONTRIBUTIONS BY DAVID A. COX AND ALICIA DICKENSTEIN
Editorial:
American Mathematical Society
Referencias:
Año: 2008 p. 158
ISSN:
978-0-8218-4760-2
Resumen:
This book, which grew out of lectures by
E. Kunz for students with a background in algebra and algebraic
geometry, develops local and global duality theory in the
special case of (possibly singular) algebraic varieties over
algebraically closed base fields. It describes duality and
residue theorems in terms of Kähler differential forms and
their residues. The properties of residues are introduced via
local cohomology. Special emphasis is given to the relation
between residues to classical results of algebraic geometry and
their generalizations. The contribution by A. Dickenstein gives
applications of residues and duality to polynomial solutions of
constant coefficient partial differential equations and to
problems in interpolation and ideal membership. D. A. Cox
explains toric residues and relates them to the earlier
text.
The book is intended as an introduction to more advanced
treatments and further applications of the subject, to which
numerous bibliographical hints are given.