Picard groups of normal surfaces

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lines Generate the Picard Groups of Certain Fermat Surfaces

We answer a question of T. Shioda and show that, for any positive integer m prime to 6, the Picard group of the Fermat surface Φm is generated by the classes of lines contained in Φm. A few other classes of surfaces are also considered.

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

E-Polytopes in Picard Groups of Smooth Rational Surfaces

In this article, we introduce special divisors (root, line, ruling, exceptional system and rational quartic) in smooth rational surfaces and study their correspondences to subpolytopes in Gosset polytopes k21. We also show that the sets of rulings and exceptional systems correspond equivariantly to the vertices of 2k1 and 1k2 via E-type Weyl action.

متن کامل

Cusps of Picard modular surfaces

We determine the number of cusps of minimal Picard modular surfaces. The proof also counts cusps of other Picard modular surfaces of arithmetic interest. Consequently, for each N > 0 there are finitely many commensurability classes of nonuniform arithmetic lattices in SU(2, 1) that contain an N -cusped surface. We also discuss a higher-rank analogue.

متن کامل

Volumes of Picard modular surfaces

We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2orbifolds. We then show that every arithmetic cusped complex hyperbolic 2-manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds.

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

ژورنال

عنوان ژورنال: Journal of Singularities

سال: 2012

ISSN: 1949-2006

DOI: 10.5427/jsing.2012.4i