75 research outputs found
Chern Classes of the Moduli Stack of Curves
Here we calculate the Chern classes of , the
moduli stack of stable n-pointed curves. In particular, we prove that such
classes lie in the tautological ring.Comment: submitted preprin
On the rational cohomology of moduli spaces of curves with level structures
We investigate low degree rational cohomology groups of smooth
compactifications of moduli spaces of curves with level structures. In
particular, we determine H^k(\sgbar, \Q) for and , where
\sgbar denotes the moduli space of spin curves of genus .Comment: Final version accepted for publication on Geometriae Dedicat
Diffeomorphism classes of Calabi-Yau varieties
In this article we investigate diffeomorphism classes of Calabi-Yau
threefolds. In particular, we focus on those embedded in toric Fano manifolds.
Along the way, we give various examples and conclude with a curious remark
regarding mirror symmetry.Comment: 10 pages; v2 minor changes: typos and exposition improved; to appear
in Rendiconti del Seminario Matematic
New Fourfolds from F-Theory
In this paper, we apply Borcea-Voisin's construction and give new examples of
fourfolds containing a del Pezzo surface of degree six, which admit an elliptic
fibration on a smooth threefold. Some of these fourfolds are Calabi-Yau
varieties, which are relevant for the compactification of Type IIB string
theory known as -Theory. As a by-product, we provide a new example of a
Calabi--Yau threefold with Hodge numbers .Comment: 12 Pages, 1 Figure, to appear in Math. Nac
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