Shijie Shang

activity

20172026

most citedWell-posedness of stochastic partial differential equations with fully local monotone coefficients

39 citations · 57 across the 22 of their papers we have counts for

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4 papers · 1 filter

math.AG2023

Hard Lefschetz theorems for free line bundles

Jiajun Hu, Shijie Shang, Jian Xiao

We introduce a partial positivity notion for algebraic maps via the defect of semismallness. This positivity notion is modeled on $m$ -positivity in the analytic setting and $m$ -amp…

math.AG2022

A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves

Shijie Shang

We show that a bound of the Castelnuovo-Mumford regularity of any power of the ideal sheaf of a smooth projective complex variety $X \subseteq P^{r}$ is sharp exactly for comp…

math.AG2021

Stability of syzygy bundles on smooth projective varieties

Shijie Shang

We prove that the kernel bundle of the evaluation morphism of global sections, namely the syzygy bundle, of a sufficiently ample line bundle on a smooth projective variety is slope…

math.AG2020

Stability of special generalized null correlation bundles on $P^{5}$

Shijie Shang

In this paper, we study special generalized null correlation bundles on $P^{5}$ . We prove that special generalized null correlation bundles on $P^{5}$ are stable…

Hard Lefschetz theorems for free line bundles

A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves

Stability of syzygy bundles on smooth projective varieties

Stability of special generalized null correlation bundles on P5

Stability of special generalized null correlation bundles on $P^{5}$