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 Compositio MathematicaJournal Prestige (SJR): 3.139 Citation Impact (citeScore): 1Number of Followers: 0      Subscription journal ISSN (Print) 0010-437X - ISSN (Online) 1570-5846 Published by Cambridge University Press  [387 journals]
• Higher-dimensional foliated Mori theory
• Authors: Calum Spicer
Pages: 1 - 38
Abstract: We develop some foundational results in a higher-dimensional foliated Mori theory, and show how these results can be used to prove a structure theorem for the Kleiman–Mori cone of curves in terms of the numerical properties of $K_{{\mathcal{F}}}$ for rank 2 foliations on threefolds. We also make progress toward realizing a minimal model program (MMP) for rank 2 foliations on threefolds.
PubDate: 2020-01-01T00:00:00.000Z
DOI: 10.1112/S0010437X19007681
Issue No: Vol. 156, No. 1 (2020)

• On the Balmer spectrum for compact Lie groups
• Authors: Tobias Barthel; J. P. C. Greenlees, Markus Hausmann
Pages: 39 - 76
Abstract: We study the Balmer spectrum of the category of finite $G$ -spectra for a compact Lie group $G$ , extending the work for finite $G$ by Strickland, Balmer–Sanders, Barthel–Hausmann–Naumann–Nikolaus–Noel–Stapleton and others. We give a description of the underlying set of the spectrum and show that the Balmer topology is completely determined by the inclusions between the prime ideals and the topology on the space of closed subgroups of $G$ . Using this, we obtain a complete description of this topology for all abelian compact Lie groups and consequently a complete classification of thick tensor ideals. For general compact Lie groups we obtain such a classification away from a finite set of primes $p$ .
PubDate: 2020-01-01T00:00:00.000Z
DOI: 10.1112/S0010437X19007656
Issue No: Vol. 156, No. 1 (2020)

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