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The moduli spaces of trigonal curves are proven to be rational when the genus is divisible by 4.
In this paper, we give constructions of strongly regular Cayley graphs and skew Hadamard difference sets. Both constructions are based on choosing cyclotomic classes in finite fields, and our results ...
Abstract: Suppose $(X, \Delta)$ is a log-$\bQ$-Gorenstein pair. Recent work of M. Blickle and the first two authors gives a uniform description of the multiplier ideal $\mJ(X;\Delta)$ (in characterist...
By a mathematical instanton of charge n, we understand a rank-2 algebraic vector bundle E on the 3-dimensional projective space P3 with Chern classes (1) c1(E) = 0, c2(E) = n, satisfying the vanishi...
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
We study the stable pairs theory of local curves in 3-folds with descendent insertions. The rationality of the partition function of descendent invariants is established for the full local curve geom...
We prove a structure theorem for non-isomorphic endomorphisms of weak Q-Fano threefolds, or more generally for threefolds with big anti-canonical divisor. Also provided is a criterion for a fibred rat...
We know that the discrete ordinates method is an important numerical method for solving transport equation. For the steady state transfer equations, the rationalities of this method have been proved b...

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