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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Projective normality of model varieties and related results
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by Paolo Bravi, Jacopo Gandini and Andrea Maffei PDF
Represent. Theory 20 (2016), 39-93 Request permission


We prove that the multiplication of sections of globally generated line bundles on a model wonderful variety $M$ of simply connected type is always surjective. This follows by a general argument which works for every wonderful variety and reduces the study of the surjectivity for every couple of globally generated line bundles to a finite number of cases. As a consequence, the cone defined by a complete linear system over $M$ or over a closed $G$-stable subvariety of $M$ is normal. We apply these results to the study of the normality of the compactifications of model varieties in simple projective spaces and of the closures of the spherical nilpotent orbits. Then we focus on a particular case proving two specific conjectures of Adams, Huang and Vogan on an analogue of the model orbit of the group of type $\mathsf E_8$.
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Additional Information
  • Paolo Bravi
  • Affiliation: Dipartimento di Matematica, Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy
  • MR Author ID: 683748
  • Email:
  • Jacopo Gandini
  • Affiliation: Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
  • MR Author ID: 932646
  • Email:
  • Andrea Maffei
  • Affiliation: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy
  • MR Author ID: 612173
  • Email:
  • Received by editor(s): February 19, 2015
  • Received by editor(s) in revised form: December 29, 2015
  • Published electronically: February 12, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Represent. Theory 20 (2016), 39-93
  • MSC (2010): Primary 14M27; Secondary 20G05
  • DOI:
  • MathSciNet review: 3458949