Add to ORKGWe study log Calabi--Yau pairs of the form $(\mathbb{P}^3,\Delta)$, where $\Delta$ is a quartic surface, and classify all such pairs of coregularity less than or equal to one, up to volume preserving equivalence. In particular, if $(\mathbb{P}^3,\Delta)$ is a maximal log Calabi--Yau pair then we show that it has a toric model.Comment: 21 page
In this article, we prove that a smooth projective complex surface $X$ which is regular (i.e. such t...
In [15], we established a series of correspondences relating five enumerative theories of log Calabi...
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consi...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments...
It is conjectured that the canonical models of varieties (not of general type) are bounded when the ...
textWe consider the pair of a smooth complex projective variety together with an anti-canonical simp...
textWe consider the pair of a smooth complex projective variety together with an anti-canonical simp...
Algebraic geometry has for many decades been one of the core disciplines of mathematics, and the sub...
A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q...
Maulik and Ranganathan have recently introduced moduli spaces of logarithmic stable pairs. We examin...
We establish a Koll\'ar-type gluing theory for generalized log canonical pairs associated with crepa...
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese di...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
For a log Calabi Yau pair (X,D) with X\D smooth affine, satisfying either assumption 1.1 of "The can...
In this article, we prove that a smooth projective complex surface $X$ which is regular (i.e. such t...
In [15], we established a series of correspondences relating five enumerative theories of log Calabi...
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consi...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments...
It is conjectured that the canonical models of varieties (not of general type) are bounded when the ...
textWe consider the pair of a smooth complex projective variety together with an anti-canonical simp...
textWe consider the pair of a smooth complex projective variety together with an anti-canonical simp...
Algebraic geometry has for many decades been one of the core disciplines of mathematics, and the sub...
A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q...
Maulik and Ranganathan have recently introduced moduli spaces of logarithmic stable pairs. We examin...
We establish a Koll\'ar-type gluing theory for generalized log canonical pairs associated with crepa...
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese di...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
For a log Calabi Yau pair (X,D) with X\D smooth affine, satisfying either assumption 1.1 of "The can...
In this article, we prove that a smooth projective complex surface $X$ which is regular (i.e. such t...
In [15], we established a series of correspondences relating five enumerative theories of log Calabi...
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consi...