Open AccessTautological sheaves on Hilbert schemes of points
Author(s) -
Zhilan Wang,
Jian Zhou
Publication year - 2014
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-2014-00623-8
Subject(s) - equivariant map , series (stratigraphy) , mathematics , annotation , hilbert space , euler's formula , type (biology) , semantics (computer science) , pure mathematics , algebra over a field , computer science , algorithm , artificial intelligence , mathematical analysis , programming language , paleontology , ecology , biology
We propose some conjectures on the generating series of (equivariant) Euler characteristics of some vector bundles constructed from the tautological bundles on Hilbert schemes of points on affine k k -spaces. We establish the surface case of these conjectures and present some verifications of the higher dimensional cases.