A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. Examples of such maps include standard flops and twisted Mukai flops. In this paper, we give a criterion for a simple birational map to be a standard flop or a twisted Mukai flop. As an application, we classify all simple birational maps up to dimension 5
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than...
We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, ...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
use diagrams.styWe construct a resolution of stratified Mukai flops of type A, D, E_{6, I} by succes...
Flips and flops are elementary birational maps which first appear in dimension three. We give exampl...
The DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of deri...
For stratified Mukai flops of type $A_{n,k}, D_{2k+1}$ and $E_{6,I}$, it is shown the fiber product ...
complexes of OX-modules with coherent cohomologies. 1 To what extent does D(X) determine X. Biration...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
Birational properites of generically finite morphisms $X\rightarrow Y$ of algebraic varieties can be...
We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, ...
We show that given any two minimal models of a generalized lc pair, there exist small birational mod...
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than...
We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, ...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
The structure of birational maps between algebraic varieties becomes increasingly complicated as the...
use diagrams.styWe construct a resolution of stratified Mukai flops of type A, D, E_{6, I} by succes...
Flips and flops are elementary birational maps which first appear in dimension three. We give exampl...
The DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of deri...
For stratified Mukai flops of type $A_{n,k}, D_{2k+1}$ and $E_{6,I}$, it is shown the fiber product ...
complexes of OX-modules with coherent cohomologies. 1 To what extent does D(X) determine X. Biration...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
Birational properites of generically finite morphisms $X\rightarrow Y$ of algebraic varieties can be...
We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, ...
We show that given any two minimal models of a generalized lc pair, there exist small birational mod...
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than...
We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, ...
AbstractFor a smooth projective 3-fold of general type, we prove that the relative canonical stabili...
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