Skip to main content
MathOverflow

Return to Question

I added the "open-problems" tag.
Link
Sasha
Sasha
  • 39.3k
  • 2
  • 54
  • 104
added 13 characters in body
Source Link
user74900
user74900

Does there exist a smooth non-rational projective variety whose bounded derived category of coherent sheaves admits a full exceptional collection? I could not find any examples in the literature (for instance projective spaces and intersections of quadrics, which admit full exceptional collections, are rational).

Does there exist a smooth projective variety whose bounded derived category of coherent sheaves admits a full exceptional collection? I could not find any examples in the literature (for instance projective spaces and intersections of quadrics, which admit full exceptional collections, are rational).

Does there exist a smooth non-rational projective variety whose bounded derived category of coherent sheaves admits a full exceptional collection? I could not find any examples in the literature (for instance projective spaces and intersections of quadrics, which admit full exceptional collections, are rational).

Source Link
user74900
user74900

A non-rational variety with a full exceptional collection?

Does there exist a smooth projective variety whose bounded derived category of coherent sheaves admits a full exceptional collection? I could not find any examples in the literature (for instance projective spaces and intersections of quadrics, which admit full exceptional collections, are rational).