Add to ORKGWe study certain DT invariants arising from stable coherent sheaves in a nonsingular projective threefold supported on the members of a linear system of a fixed line bundle. When the canonical bundle of the threefold satisfies certain positivity conditions, we relate the DT invariants to Carlsson-Okounkov formulas for the "twisted Euler's number" of the punctual Hilbert schemes of nonsingular surfaces, and conclude they have a modular property.Comment: First draft. Comments are welcom
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, ...
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...
Let $S$ be a K3 surface. We study the reduced Donaldson-Thomas theory of the cap $(S \times \mathbb{...
We show that the Hilbert scheme of curves and Le Potier’s moduli space of stable pairs with one dime...
Let $\sigma$ be a stability condition on the bounded derived category $D^b({\mathop{\rm Coh}\nolimit...
We give a new proof the arithmetic Hilbert-Samuel theorem by using classical reductions in the theor...
We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Mac...
ABSTRACT. Motivated by S-duality modularity conjectures in string the-ory, we study the Donaldson-Th...
Let $X$ be a smooth threefold with a simple normal crossings divisor $D$. We construct the Donaldson...
Hilbert scheme topological invariants of plane curve singularities are identified to framed threefol...
We develop a new method for analyzing moduli problems related to the stack of pure coherent sheaves ...
This is a survey article on Hall algebras and their applications to the study of motivic invariants ...
This is a survey of the book [16] with Yinan Song, Donaldson–Thomas invariants DTα(τ ) ∈ Z ‘count’ τ...
We propose a variation of the classical Hilbert scheme of points - the double nested Hilbert scheme ...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, ...
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...
Let $S$ be a K3 surface. We study the reduced Donaldson-Thomas theory of the cap $(S \times \mathbb{...
We show that the Hilbert scheme of curves and Le Potier’s moduli space of stable pairs with one dime...
Let $\sigma$ be a stability condition on the bounded derived category $D^b({\mathop{\rm Coh}\nolimit...
We give a new proof the arithmetic Hilbert-Samuel theorem by using classical reductions in the theor...
We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Mac...
ABSTRACT. Motivated by S-duality modularity conjectures in string the-ory, we study the Donaldson-Th...
Let $X$ be a smooth threefold with a simple normal crossings divisor $D$. We construct the Donaldson...
Hilbert scheme topological invariants of plane curve singularities are identified to framed threefol...
We develop a new method for analyzing moduli problems related to the stack of pure coherent sheaves ...
This is a survey article on Hall algebras and their applications to the study of motivic invariants ...
This is a survey of the book [16] with Yinan Song, Donaldson–Thomas invariants DTα(τ ) ∈ Z ‘count’ τ...
We propose a variation of the classical Hilbert scheme of points - the double nested Hilbert scheme ...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, ...
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...