Pieter Belmans
about me interactive blog talks uni.lu writing

Fortnightly links (47)

Oct 15, 2017 • Pieter Belmans

posted in:
  • mathematics
tags:
  • fortnightly links
  • Martin Herschend, Osamu Iyama, Hiroyuki Minamoto, Steffen Oppermann: Representation theory of Geigle-Lenzing complete intersections is a preprint from 2014, but it just got an update. They introduce a higher-dimensional analogue of weighted projective lines: objects which appear in the intersection of representation theory of finite-dimensional algebras, the algebraic geometry of Deligne–Mumford stacks, the noncommutative algebraic geometry of hereditary orders.

    Example 3.1.15 made me chuckle a bit.

  • Lev Borisov, JongHae Keum, Research announcement: equations of a fake projective plane really made me chuckle. They give 84 (yes, eighty-four) equations in 10 variables, whose vanishing locus is a fake projective plane. For me, these are interesting objects because their derived category can contain a (quasi-)phantom, but numerically they look completely like an actual projective plane. But as they are surfaces of general type, they cannot deform noncommutatively, whereas the usual projective plane does.

  • previous post
  • next post
contact me:
  pieter.belmans@uni.lu

address:
  Maison du Nombre
  Université du Luxembourg
  6, Avenue de la Fonte
  L-4364 Esch-sur-Alzette
  Luxembourg
I maintain
  • stacks.math.columbia.edu
  • ncag.info
  • kerodon.net
  • fanography.info
  • hyperkaehler.info
  • grassmannian.info
  • mgnbar.info
  • superficie.info
you can also find me on
  • GitHub
  • MathOverflow
  • Orcid logo ORCID
  • Google Scholar