21 citations · 47 across the 12 of their papers we have counts for
12 papers
The Miyaoka-Yau inequality and the delta invariant for Fano varieties I -klt Fano case-
Tomoyuki Hisamoto, Masataka Iwai
We establish the following Miyaoka-Yau inequality for any -dimensional klt Fano variety , possibly K-unstable, in terms of its delta invariant: \[\left(2(n+1)\widehat{c}_2(X)…
Semipositivity of the orbifold second Chern class in Fujiki's class
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We study inequalities for orbifold second Chern classes of compact normal analytic varieties in Fujiki's class. We prove Miyaoka's inequality for singular varieties in Fujiki's cla…
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We establish the Miyaoka-Yau inequality for -dimensional projective klt varieties with big canonical divisor : \[ (2(n+1)\widehat{c}_2(X) - n \widehat{c}_1(X)^2) \cdot \lan…
Positivity of extensions of vector bundles
Sho Ejiri, Osamu Fujino, Masataka Iwai
In this paper, we study when positivity conditions of vector bundles are preserved by extension. We prove that an extension of a big (resp. pseudo-effective) line bundle by an ampl…
Miyaoka type inequality for terminal threefolds with nef anti-canonical divisors
Masataka Iwai, Chen Jiang, Haidong Liu
In this paper, we study the Miyaoka type inequality on Chern classes of terminal projective -folds with nef anti-canonical divisors. Let be a terminal projective -fold su…
On the structure of a log smooth pair in the equality case of the Bogomolov-Gieseker inequality
Masataka Iwai
We study the structure of a log smooth pair when the equality holds in the Bogomolov-Gieseker inequality for the logarithmic tangent bundle and this bundle is semistable with respe…
Almost nef regular foliations and Fujita's decomposition of reflexive sheaves
Masataka Iwai
In this paper, we study almost nef regular foliations. We give a structure theorem of a smooth projective variety with an almost nef regular foliation : admits…
On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces
Sho Ejiri, Masataka Iwai, Shin-ichi Matsumura
In this paper, we study the relative anti-canonical divisor of an algebraic fiber space , and we reveal relations among positivity conditions of ,…
On projective manifolds with pseudo-effective tangent bundle
Genki Hosono, Masataka Iwai, Shin-ichi Matsumura
In this paper, we develop the theory of singular hermitian metrics on vector bundles. As an application, we give a structure theorem of a projective manifold with pseudo-effect…
Characterization of pseudo-effective vector bundles by singular Hermitian metrics
Masataka Iwai
In this paper, we give complex geometric descriptions of the notions of algebraic geometric positivity of vector bundles and torsion-free coherent sheaves, such as nef, big, pseudo…
Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics
Masataka Iwai
We study a singular Hermitian metric of a vector bundle. First, we prove the sheaf of locally square integrable holomorphic sections of a vector bundle with a singular Hermitian me…
On the global generation of direct images of pluri-adjoint line bundles
Masataka Iwai
We study the Fujita-type conjecture proposed by Popa and Schnell. We obtain an effective bound on the global generation of direct images of pluri-adjoint line bundles on the regula…