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N-point Virasoro algebras are multipoint Krichever-Novikov-type algebras Schlichenmaier, Martin in Communications in Algebra (2017), 45 Detailed reference viewed: 147 (7 UL)Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves Iena, Oleksandr in Communications in Algebra (2015), 43(2), 812-828 We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable ... [more ▼] We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support). [less ▲] Detailed reference viewed: 133 (11 UL)On pairs of commuting involutions in $ Sym(n)$ and $ Alt(n)$ Kiefer, Ann ; in Communications in Algebra (2013), 41(12), 4408--4418 The number of pairs of commuting involutions in Sym(n) and Alt(n) is determined up to isomorphism. It is also proven that, up to isomor- phism and duality, there are exactly two abstract regular polyhedra ... [more ▼] The number of pairs of commuting involutions in Sym(n) and Alt(n) is determined up to isomorphism. It is also proven that, up to isomor- phism and duality, there are exactly two abstract regular polyhedra on which the group Sym(6) acts as a regular automorphism group. [less ▲] Detailed reference viewed: 57 (2 UL)Equivariant operators between some modules of the Lie algebra of vector fields Poncin, Norbert in Communications in Algebra (2004), 32(7), 2559--2572 Detailed reference viewed: 121 (4 UL) |
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