For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defined by $|-mK_X|$ is birational for all $m\geq59$.Comment: 26 pages, to appear in Nagoya Math. J.; minor corrections applie
Let $(X,L)$ be a quasi-polarized canonical Calabi–Yau threefold. In this note, we show that $\vert m...
We classify rank two vector bundles on a del Pezzo threefold $X$ of Picard rank one whose projectivi...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
In this paper, we study the explicit geometry of threefolds, in particular, Fano varieties. We find ...
AbstractWe study global log canonical thresholds of anticanonically embedded quasismooth weighted Fa...
We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano t...
We give conditions for a uniruled variety of dimension at least 2 to be non-solid. This study provid...
AbstractLet X be a terminal weak Q-Fano 3-fold. We prove that P−6(X)>0 and P−8(X)>1. We also prove t...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
The thesis consists of four chapters. First chapter is introductory. In Chapter 2, we recall some b...
Let $M$ be a smooth Fano threefold such that a canonical extension of the tangent bundle is an affin...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
Let $(X,L)$ be a quasi-polarized canonical Calabi–Yau threefold. In this note, we show that $\vert m...
We classify rank two vector bundles on a del Pezzo threefold $X$ of Picard rank one whose projectivi...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...
For a terminal weak $\mathbb{Q}$-Fano $3$-fold $X$, we show that the $m$-th anti-canonical map defin...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
In this paper, we study the explicit geometry of threefolds, in particular, Fano varieties. We find ...
AbstractWe study global log canonical thresholds of anticanonically embedded quasismooth weighted Fa...
We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano t...
We give conditions for a uniruled variety of dimension at least 2 to be non-solid. This study provid...
AbstractLet X be a terminal weak Q-Fano 3-fold. We prove that P−6(X)>0 and P−8(X)>1. We also prove t...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
The thesis consists of four chapters. First chapter is introductory. In Chapter 2, we recall some b...
Let $M$ be a smooth Fano threefold such that a canonical extension of the tangent bundle is an affin...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
Let $(X,L)$ be a quasi-polarized canonical Calabi–Yau threefold. In this note, we show that $\vert m...
We classify rank two vector bundles on a del Pezzo threefold $X$ of Picard rank one whose projectivi...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...