Remarks on Connected Components of Moduli of Real Polarized K3 Surfaces

نویسنده

  • VIACHESLAV V. NIKULIN
چکیده

We have finalized the old (1979) results from [11] about enumeration of connected components of moduli or real polarized K3 surfaces. As an application, using recent results of [13] (see also math.AG/0312396), we completely classify real polarized K3 surfaces which are deformations of real hyper-elliptically polarized K3 surfaces. This could be important in some questions, because real hyper-elliptically polarized K3 surfaces can be constructed explicitly.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

m at h . A G ] 2 4 A ug 2 00 5 REAL K 3 SURFACES WITH NON - SYMPLECTIC INVOLUTION AND APPLICATIONS . II

We consider real forms of relatively minimal rational surfaces Fm. Connected components of moduli of real non-singular curves in | − 2KFm | had been classified recently for m = 0, 1, 4 in [19]. Applying similar methods, here we fill the gap for m = 2 and m = 3 to complete similar classification for any 0 ≤ m ≤ 4, when | − 2KFm | is reduced. The case of F2 is especially remarkable and classical ...

متن کامل

Real K3 Surfaces with Non-symplectic Involutions and Applications

Classification of real K3 surfaces X with a non-symplectic involution τ is considered. For some exactly defined and one of the weakest possible type of degeneration (giving the very reach discriminant), we show that the connected component of their moduli is defined by the isomorphism class of the action of τ and the anti-holomorphic involution φ in the homology lattice. (There are very few sim...

متن کامل

Humbert surfaces and the moduli of lattice polarized K3 surfaces

In this article we introduce a collection of partial differential equations in the moduli of lattice polarized K3 surfaces whose algebraic solutions are the loci of K3 surfaces with lattice polarizations of higher rank. In the special case of rank 17 polarization such loci encode the well-known Humbert surfaces. The differential equations treated in the present article are directly derived from...

متن کامل

Picard Groups on Moduli of K3 Surfaces with Mukai Models

We discuss the Picard group of the moduli space Kg of quasi-polarized K3 surfaces of genus g ≤ 12 and g 6= 11. In this range, Kg is unirational, and a general element in Kg is a complete intersection with respect to a vector bundle on a homogenous space, by the work of Mukai. In this paper, we find generators for the Picard group PicQ(Kg) using Noether-Lefschetz theory. This verifies the Noethe...

متن کامل

On the number of Enriques quotients of a K3 surface

A K3 surface X is a compact complex surface with KX ∼ 0 and H (X,OX) = 0. An Enriques surface is a compact complex surface with H(Y,OY ) = H (Y,OY ) = 0 and 2KY ∼ 0. The universal covering of an Enriques surface is a K3 surface. Conversely every quotient of a K3 surface by a free involution is an Enriques surface. Here a free involution is an automorphism of order 2 without any fixed points. Th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005