Add to ORKGI propose a few increasingly stronger "superadditivity" conjectures regarding the behavior of Kodaira dimension under morphisms of smooth quasi-projective complex varieties.Comment: 8 pages; v2: the statements of two new results involving varieties of general type and abelian varieties included, plus various small changes; v3: improved exposition, including various update
Bielliptic and quasi-bielliptic surfaces form one of the four classes ofminimal smooth projective su...
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern clas...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, thatallows to distinguish sm...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
In this note, for any given n greater than or equal to 3 and 2 less than or equal to m < n (when ...
Firstly, we see that the bases of the miniversal deformations of isolated $\mathbb{Q}$-Gorenstein to...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Over any algebraically closed field of positive characteristic, we con- struct examples of fibration...
We study the birational geometry of the moduli spaces of hyperelliptic curves with marked points. We...
We prove the endomorphism conjecture for graded posets of width 2, 3, and 4.Comment: 9 page
For an abelian category $\mathcal{A}$, we establish the relation between its derived and extension d...
We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersecti...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
The Coleman-Oort conjecture says that for large $g$ there are no positive-dimensional Shimura subvar...
Bielliptic and quasi-bielliptic surfaces form one of the four classes ofminimal smooth projective su...
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern clas...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, thatallows to distinguish sm...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
In this note, for any given n greater than or equal to 3 and 2 less than or equal to m < n (when ...
Firstly, we see that the bases of the miniversal deformations of isolated $\mathbb{Q}$-Gorenstein to...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Over any algebraically closed field of positive characteristic, we con- struct examples of fibration...
We study the birational geometry of the moduli spaces of hyperelliptic curves with marked points. We...
We prove the endomorphism conjecture for graded posets of width 2, 3, and 4.Comment: 9 page
For an abelian category $\mathcal{A}$, we establish the relation between its derived and extension d...
We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersecti...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
The Coleman-Oort conjecture says that for large $g$ there are no positive-dimensional Shimura subvar...
Bielliptic and quasi-bielliptic surfaces form one of the four classes ofminimal smooth projective su...
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern clas...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...