6 citations · 18 across the 11 of their papers we have counts for
9 papers · 1 filter
Hirzebruch-Milnor classes of hypersurfaces with nontrivial normal bundles and applications to higher du Bois and rational singularities
Laurenţiu Maxim, Morihiko Saito, Ruijie Yang
We extend the Hirzebruch-Milnor class of a hypersurface to the case where the normal bundle is nontrivial and cannot be defined by a global function, using the associated l…
Zeros of one-forms and homologically trivial fibrations
Stefan Schreieder, Ruijie Yang
We show that a conjecture of Kotschick about one-forms without zeros on compact Kähler manifolds follows in the case of simple Albanese torus from a conjecture of Bobadilla and Kol…
A log resolution for the theta divisor of a hyperelliptic curve
Christian Schnell, Ruijie Yang
In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noeth…
Cohomology of semisimple local systems and the Decomposition theorem
Chuanhao Wei, Ruijie Yang
In this paper, we study the cohomology of semisimple local systems in the spirit of classical Hodge theory. On the one hand, we establish a generalization of Hodge-Riemann bilinear…
-minimal extensions over Hermitian symmetric domains
Ruijie Yang
In this paper, we study the -minimal extension problem for polarized variations of Hodge structures over Hermitian symmetric domains. We are able to explicitly find the -…
Hodge modules and Singular Hermitian Metrics
Christian Schnell, Ruijie Yang
The purpose of this paper is to study certain notions of metric positivity for the lowest nonzero piece in the Hodge filtration of a Hodge module. We show that the Hodge metric sat…
Nodal elliptic curves on K3 surfaces
Nathan Chen, François Greer, Ruijie Yang
Let be a general primitively polarized K3 surface with for some integer . The Severi variety is defined to be the locus of…
On irrationality of hypersurfaces In
Ruijie Yang
In this note, we study various measures of irrationality for hypersurfaces in projective spaces which were recently proposed by Bastianelli, De Poi, Ein, Lazarsfeld and Ullery. In…
Nef cones of nested Hilbert schemes of points on surfaces
Tim Ryan, Ruijie Yang
Let be the projective plane, a Hirzebruch surface, or a general surface. In this paper, we study the birational geometry of various nested Hilbert schemes of points parame…