Formality conjecture for minimal surfaces of Kodaira dimension 0
نویسندگان
چکیده
Let F be a polystable sheaf on smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) derived endomorphisms is formal. The proof based study equivariant $L_{\infty}$ models algebras equipped with cyclic structure degree 2 which non-degenerate in cohomology, and does not rely (even for K3 surfaces) previous results same subject.
منابع مشابه
On the Medvedev–Scanlon conjecture for minimal threefolds of nonnegative Kodaira dimension
Motivated by work of Zhang from the early ‘90s, Medvedev and Scanlon formulated the following conjecture. Let F be an algebraically closed field of characteristic 0 and let X be a quasiprojective variety defined over F endowed with a dominant rational self-map φ. Then there exists a point x ∈ X(F ) with Zariski dense orbit under φ if and only if φ preserves no nontrivial rational fibration, i.e...
متن کاملThe Kodaira Dimension of Certain Moduli Spaces of Abelian Surfaces
Moduli Spaces for polarized abelian surfaces are obtained as quotients of the Siegel upper half–plane H2 by arithmetic subgroups of the symplectic group Sp(4,Q). In this paper we will look at the Kodaira dimension of the moduli spaces At which parameterize abelian surfaces with a polarization of type (1, t). For many small values of t it is known that At is rational or unirational (e.g. see the...
متن کاملThe Kähler-ricci Flow on Surfaces of Positive Kodaira Dimension
4 Estimates 9 4.1 The zeroth order and volume estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.2 A partial second order estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 4.3 Gradient estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4.4 The second order estimates . . . . ....
متن کاملOn the Height of Foliated Surfaces with Vanishing Kodaira Dimension
We prove that the height of a foliated surface of Kodaira dimension zero belongs to {1, 2, 3, 4, 5, 6, 8, 10, 12}. We also construct an explicit projective model for Brunella’s very special foliation.
متن کاملThe Euler Characteristic Formula for Logarithmic Minimal Degenerations of Surfaces with Kodaira Dimension Zero and its application
In this paper, the Euler characteristic formula for projective logarithmic minimal degenerations of surfaces with Kodaira dimension zero over a 1-dimensional complex disk is proved under a reasonable assumption and as its application, the singularity of logarithmic minimal degenerations are determined in the abelian or hyperelliptic case. By globalizing this local analysis of singular fibres vi...
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: Compositio Mathematica
سال: 2021
ISSN: ['0010-437X', '1570-5846']
DOI: https://doi.org/10.1112/s0010437x20007605