6533b835fe1ef96bd129ea23

RESEARCH PRODUCT

Chern classes of the moduli stack of curves

Gilberto Bini

subject

Pure mathematicsChern classChern–Weil homomorphismGeneral MathematicsMathematical analysisCharacteristic classModuliModuli of algebraic curvesMathematics - Algebraic GeometryMathematics::Algebraic GeometryGenus (mathematics)FOS: Mathematicschern classes moduli stackTodd classSettore MAT/03 - GeometriaAlgebraic Geometry (math.AG)MathematicsStack (mathematics)

description

Here we calculate the Chern classes of ${\bar {\mathcal M}}_{g,n}$, the moduli stack of stable n-pointed curves. In particular, we prove that such classes lie in the tautological ring.

yearjournalcountryeditionlanguage
2005-06-05
10.4310/mrl.2005.v12.n5.a12http://hdl.handle.net/10447/399919