52 research outputs found
Moduli of Abelian varieties, Vinberg theta-groups, and free resolutions
We present a systematic approach to studying the geometric aspects of Vinberg
theta-representations. The main idea is to use the Borel-Weil construction for
representations of reductive groups as sections of homogeneous bundles on
homogeneous spaces, and then to study degeneracy loci of these vector bundles.
Our main technical tool is to use free resolutions as an "enhanced" version of
degeneracy loci formulas. We illustrate our approach on several examples and
show how they are connected to moduli spaces of Abelian varieties. To make the
article accessible to both algebraists and geometers, we also include
background material on free resolutions and representation theory.Comment: 41 pages, uses tabmac.sty, Dedicated to David Eisenbud on the
occasion of his 65th birthday; v2: fixed some typos and added reference
Linear-Time Algorithms for Hole-free Rectilinear Proportional Contact Graph Representations
Computerized EEG and Brain Imaging Studies in Untreated Schizophrenic Patients: A Report of Seven Cases
Changes in Local Cerebral Glucose Utilization and Dopamine Metabolism in the Rat Brain Following Acute Administration of Haloperidol
Differences in Human Group Mean SEP between Sexes: with Reference to the Rohrer's Index*
Earlier initiation of GH therapy does not influence adult height but enables earlier start of pubertal induction in children with multiple pituitary hormone deficiency
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