Twisted Stability and Fourier–Mukai Transform I

doi:https://doi.org/10.1023/a:1027304215606

Open AccessArticle10.1023/a:1027304215606

Twisted Stability and Fourier–Mukai Transform I

Kōta Yoshioka-2003-09-01-Compositio Mathematica

TL;DRAbstract

In this paper, we consider the preservation of stability by using the notion of twisted stability. As applications, (1) we show that moduli spaces of stable sheaves on K3 and abelian surfaces are irreducible and (2) we compute Hodge polynomials of some moduli spaces of stable sheaves on Enriques surfaces.

Chat with Paper

AI Agents for this Paper

In this paper, we consider the preservation of stability by using the notion of twisted stability. As applications, (1) we show that moduli spaces of stable sheaves on K3 and abelian surfaces are irreducible and (2) we compute Hodge polynomials of some moduli spaces of stable sheaves on Enriques surfaces.

Keywords

MathematicsModuli spacePure mathematicsAbelian groupModuli of algebraic curvesStability (learning theory)ModuliAlgebra over a field

Chat

Click to start Chat