Let $X$ be a projective variety with $\mathbb{Q}$-factorial singularities, over an algebraically closed field $k$ of characteristic $0$, $L$ an ample Cartier divisor on $X$, and $x$ a non-singular point of $X$. We prove that if for two general points $y,z \in X$ there e...

Statistics

We use monopole Floer homology for sutured manifolds to construct invariants of Legendrian knots in a contact 3-manifold. These invariants assign to a knot K in Y elements of the monopole knot homology KHM(-Y,K), and they strongly resemble the knot Floer homology invari...

We consider Kapranov's Chow quotient compactification of the moduli space of ordered $n$ -tuples of hyperplanes in $P^{r-1}$ in linear general position. For $r=2$ , this is canonically identified with the Grothendieck-Knudsen compactification of $M_{0,n}$ which has, amo...

Comment: 25 pages