Let $X$ be a general conic bundle over the projective plane with branch curveof degree at least 19. We prove that there is no normal projective variety $Y$that is birational to $X$ and such that some multiple of its anticanonicaldivisor is effective. We also give such examples for 2-dimensional conicbundles defined over a number field
A smooth irreducible nondegenerate projective variety X⊂PN is said to be a conic connected manifold ...
We consider elliptic curves whose coefficients are degree 2 polynomials in a variable t. We prove th...
Birational Calabi{Yau threefolds in the same deformation family provide a \weak " counter-examp...
We prove that a very general nonsingular conic bundle$X\rightarrow\mathbb{P}^{n-1}$ embedded in a pr...
Let $\pi:Z\rightarrow\mathbb{P}^{n-1}$ be a general minimal $n$-fold conic bundle with a hypersurfac...
We show that the birationality class of a quadric surface bundle over ℙ2ℙ2 is determined by its as...
The birational classification of algebraic varieties is a central problem in algebraic geometry. Rec...
From the point of view of uniform bounds for the birationality of pluri- canonical maps, irregular v...
ABSTRACT. Classification theory and the study of projective varieties which are covered by rational ...
Motivated by previous research on the osculation for special varieties, we investigate rational coni...
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than...
Let X be a smooth algebraic surface with the function field K and let τ: V → X be a standard P^2-bun...
16 pagesWe construct families of quartic and cubic hypersurfaces through a canonical curve, which ar...
Various questions related to birational properties of algebraic varieties are concerned. Rationally ...
A generically generated vector bundle on a smooth projective variety yields a rational map to a Gras...
A smooth irreducible nondegenerate projective variety X⊂PN is said to be a conic connected manifold ...
We consider elliptic curves whose coefficients are degree 2 polynomials in a variable t. We prove th...
Birational Calabi{Yau threefolds in the same deformation family provide a \weak " counter-examp...
We prove that a very general nonsingular conic bundle$X\rightarrow\mathbb{P}^{n-1}$ embedded in a pr...
Let $\pi:Z\rightarrow\mathbb{P}^{n-1}$ be a general minimal $n$-fold conic bundle with a hypersurfac...
We show that the birationality class of a quadric surface bundle over ℙ2ℙ2 is determined by its as...
The birational classification of algebraic varieties is a central problem in algebraic geometry. Rec...
From the point of view of uniform bounds for the birationality of pluri- canonical maps, irregular v...
ABSTRACT. Classification theory and the study of projective varieties which are covered by rational ...
Motivated by previous research on the osculation for special varieties, we investigate rational coni...
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than...
Let X be a smooth algebraic surface with the function field K and let τ: V → X be a standard P^2-bun...
16 pagesWe construct families of quartic and cubic hypersurfaces through a canonical curve, which ar...
Various questions related to birational properties of algebraic varieties are concerned. Rationally ...
A generically generated vector bundle on a smooth projective variety yields a rational map to a Gras...
A smooth irreducible nondegenerate projective variety X⊂PN is said to be a conic connected manifold ...
We consider elliptic curves whose coefficients are degree 2 polynomials in a variable t. We prove th...
Birational Calabi{Yau threefolds in the same deformation family provide a \weak " counter-examp...
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