20 citations · 31 across the 18 of their papers we have counts for
19 papers · 1 filter
Generalizing Green's Syzygy Theorems to Symmetric Products of Curves
Wenbo Niu, Peter Yi Wei
Let be a smooth projective curve of genus , and let denote the tautological line bundle on its -th symmetric product . We prove effective vanishing criteri…
Some local and global properties of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
The main goal of this paper is to study some local and global properties of secant varieties of algebraic curves. These results complement our previous work [8] by addressing issue…
On vanishing of fundamental forms of algebraic varieties
Lawrence Ein, Wenbo Niu
We study fundamental forms of algebraic varieties using the sheaves of principal parts of line bundles and establish a vanishing theorem for any order fundamental forms. We also gi…
A Castelnuovo-Mumford regularity bound for threefolds with rational singularities
Wenbo Niu, Jinhyung Park
The purpose of this paper is to establish a Castelnuovo-Mumford regularity bound for threefolds with mild singularities. Let be a non-degenerate normal projective threefold in…
Singularities and syzygies of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
In recent years, the equations defining secant varieties and their syzygies have attracted considerable attention. The purpose of the present paper is to conduct a thorough study o…
Log canonical thresholds of generic links of determinantal varieties
Youngsu Kim, Lance Edward Miller, Wenbo Niu
We show that the log canonical threshold of a generic determinantal variety and its generic link are the same.
A strongly geometric general residual intersection
Shihoko Ishii, Wenbo Niu
In this paper, we prove a formula of Grauert-Riemenschneider canonical sheaf and log canonical thresholds for a general residual intersection as well as an equality of minimal log…
A Castelnuovo-Mumford regularity bound for scrolls
Wenbo Niu, Jinhyung Park
Let be a scroll of codimension and degree over a smooth projective curve of genus . The purpose of this paper is to prove a linear Castelnuovo…
Mather-Jacobian singularities under generic linkage
Wenbo Niu
In this paper, we prove that Mather-Jacobian (MJ) singularities are preserved under the process of generic linkage. More precisely, let be a variety with MJ-canonical (resp. MJ…
Vanishing theorems for Mather-Jacobian multiplier ideals on a Gorenstein projective variety
Wenbo Niu
In this paper, we establish several results related to vanishing theorems for Mather-Jacobian multiplier ideals on a Gorenstein projective variety, including an injectivity theorem…
Theta-regularity of curves and Brill-Noether loci
Luigi Lombardi, Wenbo Niu
We provide a bound on the -regularity of an arbitrary reduced and irreducible curve embedded in a polarized abelian variety in terms of its degree and codimension. This is an "a…
A note on Mather-Jacobian multiplier ideals
Wenbo Niu, Bernd Ulrich
By using Mather-Jacobian multiplier ideals, we first prove a formula on comparing Grauert-Riemenschneider canonical sheaf with canonical sheaf of a variety over an algebraically cl…
Castelnuovo-Mumford regularity bounds for singular surfaces
Wenbo Niu
We prove the regularity conjecture, namely Eisenbud-Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we boun…
Geometric nullstellensatz and symbolic powers on arbitrary varieties
Wenbo Niu
In recent years, a multiplier ideal defined on arbitrary varieties, so called Mather multiplier ideal, has been developed independently by Ein-Ishii-Mustata, and de Fernex-Docampo.…
Regularity of curves in abelian varieties
Luigi Lombardi, Wenbo Niu
Inspired by a theorem of Gruson-Lazarsfeld-Peskine bounding the Castelnuovo-Mumford regularity of curves in projective spaces, we bound the Theta-regularity of curves in polarized…
Singularities of generic linkage of algebraic varieties
Wenbo Niu
Let be a generic link of a subvariety of a nonsingular variety . We give a description of the Grauert-Riemenschneider canonical sheaf of in terms of the multiplier i…
Some Results on Asymptotic Regularity of Ideal Sheaves
Wenbo Niu
Let be an ideal sheaf on defining a subscheme . Associated to there are two elementary invariants: the invariant which measures the positiv…
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Wenbo Niu
Let be an ideal sheaf on . In the first part of this paper, we bound the asymptotic regularity of powers of as $ps-3\leq \reg \mathscr{I}^p\leq ps+…
A Bound for the Castelnuovo-Mumford Regularity of Log Canonical Varieties
Wenbo Niu
In this note, we give a bound for the Castelnuovo-Mumford regularity of a homogeneous ideal in terms of the degrees of its generators. We assume that defines a local comple…