TY  - BOOK
AU  - Göttsche,Lothar
ED  - SpringerLink (Online service)
TI  - Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties
T2  - Lecture Notes in Mathematics,
SN  - 9783540483380
AV  - QA564-609 
U1  - 516.35 23
PY  - 1994///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Algebraic Geometry
N1  - Fundamental facts -- Computation of the Betti numbers of Hilbert schemes -- The varieties of second and higher order data -- The Chow ring of relative Hilbert schemes of projective bundles
N2  - In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces
UR  - http://dx.doi.org/10.1007/BFb0073491
ER  -