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Page 1 of 4

Current Topics in Complex Algebraic Geometry
  • Edited by Herbert Clemens, Janos Kollár
  • Mathematical Sciences Research Institute
  • Published online:
    27 June 2025
    Print publication:
    26 January 1996
  • The 1992/3 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This 1996 volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. To put it succinctly, algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. The editors of the volume, Herbert Clemens and Janos Kollar, chaired the organizing committee. Activities were centered around themes, one per month, under the guidance of experts in each area. There were also four short workshops, which attracted many participants and helped considerably in communicating the new directions in algebraic geometry to a large audience. This book gives a good idea of the intellectual content of the special yearand of the workshops.

  • KSB stability is automatic in codimension $\boldsymbol{\geq 3}$

  • Part of
  • János Kollár, Sándor J. Kovács
  • Journal:
    Moduli / Volume 1 / 2024
    Published online by Cambridge University Press:
    29 November 2024, e5
    • Article
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  • KSB stability holds at codimension $1$ points trivially, and it is quite well understood at codimension $2$ points because we have a complete classification of $2$-dimensional slc singularities. We show that it is automatic in codimension $3$.

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