12 citations · 14 across the 6 of their papers we have counts for
6 papers
A flatness criterion for pseudo-effective sheaves on compact Kähler spaces
Junyan Cao, Ya Deng, Shin-ichi Matsumura
In this paper, we prove that if is a pseudo-effective sheaf with vanishing first Chern class on a klt compact Kähler space , then, after passing to a finite quasi-étale cove…
Hodge theory for twisted log-differential forms
Junyan Cao
In this survey, we review recent developments in extending Hodge theory to differential forms with values in bundles equipped with singular metrics, based on joint work with Ya Den…
Hodge theory for local systems and cohomological support loci
Junyan Cao, Ya Deng, Christopher D. Hacon +1
In this article, we pursue two main objectives. The first is to show that the fundamental results of Green-Lazarsfeld (1987, 1991) on generic vanishing theorems, and works of Budur…
Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in Kähler context
Junyan Cao, Mihai Păun
In this note, motivated by the recent preprint of W. Ou, we pursue three main objectives. The first is to make progress towards the positivity of the relative canonical bundle in t…
Projective klt pairs with nef anti-canonical divisor
Frédéric Campana, Junyan Cao, Shin-ichi Matsumura
In this paper, we study a projective klt pair with the nef anti-log canonical divisor and its maximally rationally connected fibration .…
Variation of singular Kähler-Einstein metrics: Kodaira dimension zero
Junyan Cao, Henri Guenancia, Mihai Păun
We study several questions involving relative Ricci-flat Kähler metrics for families of log Calabi-Yau manifolds. Our main result states that if is a Kähler fiber sp…