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The rationality of the moduli spaces of trigonal curves
trigonal curve rationality SL2 × SL2 bi-transvectant
2012/7/11
The moduli spaces of trigonal curves are proven to be rational when the genus is divisible by 4.
Strongly Regular Cayley Graphs, Skew Hadamard Difference Sets, and Rationality of Relative Gauss Sums
strongly regular graph skew Hadamard difference set relative Gauss sum
2012/3/1
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 ...
Test ideals via a single alteration and discreteness and rationality of $F$-jumping numbers
test ideal alteration F-jumping number multiplier ideal
2011/9/15
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 rationality of the moduli spaces of trigonal curves of odd genus
trigonal curve rationality of moduli
2011/1/18
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...
Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms
threefolds non-isomorphic endomorphisms
2010/11/12
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...