A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field

作者：Blunk M^*; Sierra S J; Smith S Paul

来源：Journal of K-Theory, 2011, 8(3): 481-492.

DOI：10.1017/is010011013jkt134

• Derived equivalence
• del Pezzo surface
• arbitrary field

Let S be a degree six del Pezzo surface over an arbitrary field F. Motivated by the first author's classification of all such S up to isomorphism [3] in terms of a separable F-algebra B x Q x F, and by his K-theory isomorphism K(n)(S) congruent to K(n)(B x Q x F) for n >= 0, we prove an equivalence of derived categories
D(b)(cohS) equivalent to D(b)(modA)
where A is an explicitly given finite dimensional F-algebra whose semisimple part is B x Q x F.

• 出版日期2011-12