Derived categories of surfaces isogenous to a higher product
نویسندگان
چکیده
منابع مشابه
Isogenous to a Product of Curves
A smooth algebraic surface S is isogenous to a product, not of mixed type, if there exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely on their product, so that S = (C × F )/G. In this paper we classify the surfaces of general type with pg = q = 1 which are isogenous to an unmixed product, assuming that the group G is abelian. It turns out that they ...
متن کاملON SURFACES OF GENERAL TYPE WITH pg = q = 1 ISOGENOUS TO A PRODUCT OF CURVES
A smooth algebraic surface S is said to be isogenous to a product of unmixed type if there exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely on their product, so that S = (C × F )/G. In this paper we classify the surfaces of general type with pg = q = 1 which are isogenous to an unmixed product, assuming that the group G is abelian. It turns out tha...
متن کاملThe classification of surfaces with p g = q = 0 isogenous to a product of curves
3 The unmixed case, classification of the groups 16 3.1 The case: A = [2, 3, 7]84, B ∈ N . . . . . . . . . . . . . . . . . 18 3.1.1 A = [2, 3, 7]84, B ∈ N , α(B) ≤ 21 . . . . . . . . . . . . 18 3.1.2 A = [2, 3, 7]84, B ∈ N3, α(B) = 24 . . . . . . . . . . . 19 3.1.3 A = [2, 3, 7]84, B ∈ N3, α(B) = 30 . . . . . . . . . . . 19 3.1.4 A = [2, 3, 7]84, B ∈ N3, α(B) = 36 . . . . . . . . . . . 20 3.1.5...
متن کاملAN INTRODUCTION TO HIGHER CLUSTER CATEGORIES
In this survey, we give an overview over some aspects of the set of tilting objects in an $m-$cluster category, with focus on those properties which are valid for all $m geq 1$. We focus on the following three combinatorial aspects: modeling the set of tilting objects using arcs in certain polygons, the generalized assicahedra of Fomin and Reading, and colored quiver mutation.
متن کاملEquivalences of Derived Categories and K3 Surfaces
We consider derived categories of coherent sheaves on smooth projective varieties. We prove that any equivalence between them can be represented by an object on the product. Using this, we give a necessary and sufficient condition for equivalence of derived categories of two K3 surfaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2015.06.022